satvinder Singh Bhatia

• Professor of Mathematics
• Professor (Full) at Thapar Institute of Engineering & Technology

This paper investigates the fixed points of large enriched contractions in a convex metric space as well as in a convex G-metric space. We establish the sufficient conditions for the existence and uniqueness of fixed points for these mappings. We use the Kransnoselskij-type iterative procedure for the approximation of these fixed points in complete...

In the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space. We demonstrate the presence and the approximation of fixed points for contraction mappings by using Krasnoselskij iteration. The main conclusions of this study are shown to be corollaries or...

In order to approximate the fixed points of a contractive mapping, a new three-step iteration approach is proposed in this study. Additionally, the suggested scheme's stability and convergence are taken into account, and its efficacy for various problems is explored. The novel technique outperforms all the well-known three-step strategies that are...

The main goal of this work is to present GF-metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗-metric spaces and the class of GF-metric spaces is also presented. We examine a few fundamental aspects of this newly defined...

We derive the expressions for induced Ricci type tensors of a GCR-lightlike submanifold of an indefinite Sasakian space form and obtain some characterization theorems for it.

We study conformal Riemannian maps between Riemannian manifolds and derive expression of scalar curvature for its total manifold. Later, we study conformal Riemannian maps whose total manifold admits a Yamabe soliton and obtain conditions for fiber and range space of such maps to be Yamabe soliton. We also present a characterization theorem for a Y...

In the paper [Some new observations on Geraghty and \(\acute{C}\)iri\(\acute{c}\) type results in b-metric spaces, Mathematics, 7, (2019), doi: 10.3390/math7070643] Mlaiki et al. introduced (\(\alpha\), \(\beta\))-type contraction in order to generalize the contraction mapping defined by Pant and Panicker. Also, in the paper [Some fixed point resul...

In the present article, a generalization of GP-metric space and generalized G b-metric space has been introduced. In newly defined space, we study some properties and introduce some interesting and new concepts. Also, we present some fixed point results for various contraction mappings. Some consequences of these results are deduced in generalized...

We study warped product slant lightlike submanifolds of indefinite Kaehler manifolds. We obtain some characterization theorems for the nonexistence of warped product slant lightlike submanifolds of indefinite Kaehler manifolds.

In this paper, the extensions of classes S˜, C˜ and B˜V are made by defining the classes S˜r, C˜r and B˜Vr, r=0,1,2,… It is also shown that class S˜r is a subclass of C˜r∩B˜Vr. Moreover, the results on L1-convergence of r times differentiated trigonometric sine series have been obtained by considering the rth (r=0,1,2,…) derivative of modified sine...

The existence of sine and cosine series as a Fourier series, their \(L^1\)-convergence seems to be one of the prominent question in theory of convergence of trigonometric series in \(L^1\)-metric norm. In the literature, till now most of the authors have studied the \(L^1\)-convergence of cosine trigonometric series. However, very few of them have...

Differential geometry consists of study of curves and surfaces embedded in three dimensional Euclidean space. Manifolds are the generalizations of surfaces to arbitrarily higher dimensional spaces and provide mathematical context for understanding space in all of its manifestations. Manifolds inherit number of local properties of Euclidean space. I...

In this paper, we introduce the concept of compatible maps and weakly compatible maps of type (

Pharmacological ascorbate has been proposed as a potential anti-cancer agent when combined with radiation and chemotherapy. The anti-cancer effects of ascorbate are hypothesized to involve the autoxidation of ascorbate leading to increased steady-state levels of H2O2; however, the mechanism(s) for cancer cell-selective toxicity remain unknown. The...

In JPEG2000 standard, the number of bit planes of wavelet coefficients to be used in encoding is dependent on the compression ratio as well as subbands. These significant wavelet bit planes can be utilized to embed bits of secret data as they are retained in the final bit stream after Tier-2 encoding. In proposed techniques, the above mentioned con...

We define the axiom of indefinite hemi-slant 3-planes and 3-spheres for an indefinite almost Hermitian manifold with lightlike submanifolds. We prove that if an indefinite Kaehler manifold satisfies the axioms of indefinite hemi-slant 3-planes and 3-spheres for some slant angle θ ∈ (0, π/2) then it is an indefinite complex space form.

In this paper, we prove that there do not exist totally contact umbilical hemi-slant lightlike submanifolds of inde�nite Sasakian manifolds and of inde�nite contact space forms other than totally contact geodesic hemi-slant lightlike submanifolds. Consequently, we prove that the induced connection on a totally contact umbilical hemi-slant lightlike...

In this paper, data hiding algorithm by using lifting scheme and genetic algorithm (GA) has been proposed. Arnold transform has been used to scramble the secret image to secure the extraction of secret image. Lifting scheme is applied on the cover image to get the wavelet subbands. In this algorithm, scrambled secret image is embedded into signific...

In this paper, we study totally umbilical slant lightlike submanifolds of indefinite Kaehler manifolds. We prove that there do not exist totally umbilical proper slant lightlike submanifolds in indefinite Kaehler manifolds other than totally geodesic proper slant lightlike submanifolds. We also prove that there do not exist totally umbilical proper...

We introduce slant lightlike submersions from an indefinite almost Hermitian manifold into a lightlike manifold. We establish the existence theorems for these submersions and investigate the necessary and sufficient conditions for the leaves of the distributions to be totally geodesic foliations in indefinite almost Hermitian manifolds.

This paper proposes a block-based high capacity steganography technique for digital images. The cover image is decomposed into blocks of equal size and the largest pixel of each block is found to embed the secret data bits and also the smallest pixel of each block is used for embedding to enhance the capacity. Embedding of secret data is performed...

The paper presents a new closed-form expression for the fractional Fourier transform of generalized Triangular and Welch window functions. Fractional Fourier Transform (FrFT) is a parameterized transform having an adjustable transform parameter which makes it more flexible and superior over ordinary Fourier transform in several applications. It is...

Prevention is better than the cure, more so for incurable infectious diseases. The awareness, screening of infectives and counseling can help in devising suitable preventive policies for controlling the incurable infectious diseases. This paper proposes a nonlinear mathematical model to study the effect of awareness, screening of infectives and cou...

This paper proposes a block-based high capacity steganography technique for digital images. The cover image is decomposed into blocks of equal size and the largest pixel of each block is found to embed the secret data bits and also the smallest pixel of each block is used for embedding to enhance the capacity. Embedding of secret data is performed...

Purpose: The purpose of the present prospective clinical trial was to determine the efficacy of [(18)F]fluorothymidine (FLT)-identified active bone marrow sparing for pelvic cancer patients by correlating the FLT uptake change during and after chemoradiation therapy with hematologic toxicity. Methods and materials: Simulation FLT positron emissi...

The similarity reduction and exact solutions of variable coefficients generalized Gardner equation are obtained by finding the symmetries using Lie classical method. Also, the bifurcation and the phase portrait of generalized Gardner equation have been presented.

In this paper, a watermarking technique for JPEG2000 compressed image is proposed. Scrambling of secret message is performed block-wise using Arnold Transform. Secret message is divided into non-overlapping blocks of unequal size and then Arnold transform is applied on each block and secret key is generated based on the periodicity of each block. S...

Objective: The aim of the study was to characterize the impact of adjuvant therapy on survival in women with stage I/II uterine carcinosarcoma after primary surgery. Methods: We reviewed records of 118 consecutively treated women with 2009 International Federation of Gynecology and Obstetrics stage I/II uterine carcinosarcoma who underwent hyste...

Purpose: The authors present a novel paddle-based rotating-shield brachytherapy (P-RSBT) method, whose radiation-attenuating shields are formed with a multileaf collimator (MLC), consisting of retractable paddles, to achieve intensity modulation in high-dose-rate brachytherapy.

In this paper, we aim to generalize the notion of statistical convergence for double sequences on probabilistic normed spaces with the help of two nondecreasing sequences of positive real numbers $\lambda=(\lambda_{n})$ and $\mu = (\mu_{n})$ such that each tending to zero, also $\lambda_{n+1}\leq \lambda_{n}+1, \lambda_{1}=1,$ and $\mu_{n+1}\leq \m...

Recently, the concept of statistical convergence for multiple sequences of fuzzy numbers has been studied by Kumar et al.. This motivate us to extend the idea of J-convergence to sequences of fuzzy numbers of multiplicity greater than two.

Develop an IMRT planning technique that can preferentially spare sacral bone marrow for pelvic cancer patients. Six pelvic cancer patients (two each with anal, cervical, and rectal cancer) were enrolled in an IRB approved protocol to obtain FLT PET images at simulation, during, and post chemoradiation therapy. Initially, conventional IMRT plans wer...

In this paper, we study totally contact umbilical slant lightlike submanifolds of indefinite Kenmotsu manifolds. We prove that there does not exist totally contact umbilical proper slant lightlike submanifold in indefinite Kenmotsu manifolds other than totally contact geodesic proper slant lightlike submanifold. We also prove that there does not ex...

This study evaluates the potential efficacy and robustness of functional bone marrow sparing (BMS) using intensity-modulated proton therapy (IMPT) for cervical cancer, with the goal of reducing hematologic toxicity. IMPT plans with prescription dose of 45Gy were generated for ten patients who have received BMS intensity-modulated X-ray therapy (IMR...

In this paper, variable coefficient Benny equation (also called the KdV Burgers–Kuramoto equation) has been considered. By using the Painlevé analysis and Lie group analysis methods, the Painlevé properties and symmetries have been studied. Some solutions of the reduced ODEs are obtained.

We study hemi-slant lightlike submanifolds of indefinite Kaehler manifolds and prove that there do not exist totally umbilical hemi-slant lightlike submanifolds in indenite Kaehler manifolds other than totally geodesic hemi-slant lightlike submanifolds. We consequently prove that the induced connection of a totally umbilical hemislant lightlike sub...

The present work deals with introducing and studying a generalized sequential convergence, namely statistical convergence in fuzzy neighborhood spaces. Some properties of statistical convergence on fuzzy neighborhood spaces are discussed.

{\bf 1. Main results} On critical examination of the results given in our paper [1], we notice one crucial error. We need to carry out the following correction: Proof of Lemma 3.1 given in paper [1] is wrong as the existence of the limit $\lim\limits_{n\rightarrow \infty } B (y_{n})$ is not proved. It is proved only that, if this limit exists, then...

The Gowdy spacetime metric splits the vacuum Einstein field equations into evolution equations, known as Gowdy equations. In this paper, Lie classical method is applied to investigate symmetries of the Gowdy equations, that is a coupled system of nonlinear second order partial differential equations. Symmetries which are obtained in this paper, are...

This paper presents a nonlinear mathematical model to study the transmission dynamics of HIV-TB co-infection. The basic reproduction numbers corresponding to both the HIV and TB are computed and it is shown that the disease free equilibrium is stable only when both the reproduction numbers are less than one. The existence and stability of TB-only a...

One interesting technique for obtaining fixed point results is the technique of contractive conditions of integral type. In order to generalize this technique, we introduce a new concept of α-ψ-contractive type mappings of integral type. Also, we establish fixed point theorems and coupled fixed point theorems for such mappings in complete metric sp...

We obtain some characterization theorems for the nonexistence of warped product slant lightlike submanifolds of indefinite Sasakian manifolds.

Abstract There has not yet been any work reported in the literature where the Punjabi speech has been analyzed/synthesized using the linear predictive coding (LPC). This work, therefore, concentrates on the linear prediction analysis and synthesis of the Punjabi speech. In the LP model of speech production, the current speech sample is predicted us...

In this work, a steganography technique using histogram shifting for JPEG2000 compressed images is proposed. Histogram of the wavelet coefficients of each wavelet subband is calculated and shifted to embed secret image data. This embedding is performed on the peak wavelet coefficients during wavelet decomposition process of JPEG2000 encoder using L...

Objective To create and compare consensus clinical target volume (CTV) contours for computed tomography (CT) and 3-Tesla (3-T) magnetic resonance (MR) image-based cervical-cancer brachytherapy. Methods and Materials Twenty-three experts in gynecologic radiation oncology contoured the same 3 cervical cancer brachytherapy cases: 1 stage IIB near-com...

We prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of inde�nite Sasakian manifolds other than totally contact geodesic proper slant lightlike submanifolds. We also prove that there do not exist totally contact umbilical proper slant lightlike submanifolds of inde�nite Sasakian space forms. Keywords: Slant

The transmission of 'Human Immunodeficiency Virus (HIV)' that causes the 'Acquired Immunodeficiency Syndrome (AIDS)' is strongly associated with un-protected sex and at the present understanding this epidemic can reach higher prevalence threshold level when there are extensive sexual contacts between the sex workers and general population. In the p...

The aim of this paper is to investigate and analyze the transmission dynamics of infectious diseases in human population. We have formulated a non-linear SIRS model to study the role of awareness programs by mass-media in reducing the transmission of infectious diseases. The analysis shows that the awareness by mass-media plays a constructive role...

Cancer cells, relative to normal cells, demonstrate significant alterations in metabolism that are proposed to result in increased steady-state levels of mitochondrial-derived reactive oxygen species (ROS) such as O2•−and H2O2. It has also been proposed that cancer cells increase glucose and hydroperoxide metabolism to compensate for increased leve...

Purpose: Pencil beam scanning (PBS) proton therapy provides excellent dosimetric benefits in pelvic cancer treatment, yet day-to-day anatomical variations in pelvic region tend to cause range uncertainties. This study evaluates the dosimetric robustness under anatomical changes for three PBS intensity-modulated proton therapy (IMPT), IMPT using wor...

In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weak compatibility in the setting of G -metric spaces. This result generalizes the result of Ahmed [2] from 2-metric spaces to G -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize and extend...

The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of SθσΔm(I)-convergence and obtain a condition u...

In this paper, a new phonetic alphabet called PUNJARPAbet for speech processing in the Punjabi language has been designed. The new phonetic coding scheme PUNJARPAbet developed in this paper has been primarily designed to encode the text and speech corpora recently developed by the authors in the Punjabi language. This recently developed corpus has...

In this paper, we present a deterministic non-linear mathematical model for the transmission dynamics of HIV and TB co-infection and analyze it in the presence of screening and treatment. The equilibria of the model are computed and stability of these equilibria is discussed. The basic reproduction numbers corresponding to both HIV and TB are found...

Objective. We compared the treatments of uterine carcinosarcoma at our institution and evaluated their impact on survival. Methods. A retrospective analysis was performed on 60 eligible patients with carcinosarcoma limited to the pelvis. Subjects were divided into four categories: surgery, surgery plus chemotherapy, surgery plus radiation therapy,...

657 Background: FLT PET is a novel metabolite for imaging cellular proliferation and has shown promise for treatment response monitoring. The utility of FLT PET imaging in rectal adenocarcinomas (RA) has not previously been established. We set out to compare FDG and FLT uptake in RA and correlate FLT response during treatment to tumor regression. M...

The main objective of this paper is to define some new kind of generalized convergent sequence spaces with respect to a modulus function, and difference operator Δm, m ≥ 1 in a 2-normed space. We also examine some topological properties of the resulting sequence spaces. Finally, we have introduced a new class of generalized convergent sequences wit...

In this paper, we introduce a new class of expansive mappings called generalized (ξ,α)-expansive mappings and investigate the existence of a fixed point for the mappings in this class. We conclude that several fixed-point theorems can be considered as a consequence of main results. Moreover, some examples are given to illustrate the usability of th...

In this article, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a fuzzy metric space satisfying a generalized Meir-Keeler type contractive condition. Our results substantially extend, generalize, improve and fuzzify multitude of well known results of the form existing in literature in metric as wel...

In this paper, employing the common (E.A) like property, we prove a common fixed theorem for weakly compatible mappings via an implicit relation in intuitionistic fuzzy metric space.

The paper discusses the availability analysis of rice plant under preventive maintenance assuming three states of system namely: goodstate, pending-failure and failed state. When the system is in pending failure state, preventive maintenance (PM) is employed. Thetransition rates are time dependent, the mathematical formulation has been carried out...

In this paper a variable-coefficient Generalised Kuramoto-Sivashinsky Equation is considered. By using the Lie classical symmetry analysis method symmetries for this equation are obtained. Some new exact solutions for the considered PDE are obtained.

In view of the fact that the fixed point theory provides an efficient tool in many fields of pure and applied sciences, we use the notion of the property E.A to prove a common fixed point theorem for weakly compatible mappings. The presented results are applied to obtain the solution of an integral equation and the bounded solution of a functional...

To quantify the dosimetric impact of applicator displacements and applicator reconstruction-uncertainties through simulated planning studies of virtual applicator shifts. Twenty randomly selected high-dose-rate (HDR) titanium tandem-and-ovoid (T&O) plans were retrospectively studied. MRI-guided, conformal brachytherapy (MRIG-CBT) plans were retrosp...

In this paper, a method is proposed to improve the scheduled preventive maintenance of the system by assessing different kinds of availability and illustrated how the corrective maintenance data can be helpful to reschedule preventively maintained system. This method uses the concept of inherent availability to ensure to what extent maximum availab...

In this paper, a new text and speech corpus in the Punjabi language has been developed. The Punjabi language is a modern Indo-Aryan language. The Punjabi language has been ranked amongst the top spoken languages of the world. Over the years, this ranking has varied between 10 and 18. Any research work on the Punjabi language, therefore, assumes an...

The aim of this work is to use newly introduced property, which is so called common limit in the range $(CLR_{S})$ for four self-mappings, and prove some theorems which satisfy this property. Moreover, we establish some new existence of a common fixed point theorem for generalized contractive mappings in fuzzy metric spaces by using this new proper...

In this paper, we prove common fixed point theorems for contraction mappings, which generalizes the result of Pant et al [Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara, 57 (2011), 181–190] using the concept of weak reciprocal continuity in metric spaces.

In this paper, we prove common fixed point theorems for contraction mappings using weak reciprocal continuity in metric spaces and Menger spaces.

This article presents a new mathematical model for obtaining the fractional Fourier transform (FrFT) of Chirp function. FrFT is a parameterised transform having an adjustable transform parameter which makes it more flexible and superior over ordinary FT in several applications. It is an important tool used in signal processing for spectral analysis...

A new, simple and unified approach in the theory of contractive mappings was recently given by Samet \emph{et al.} (Nonlinear Anal. 75, 2012, 2154-2165) by using the concepts of $\alpha$-$\psi$-contractive type mappings and $\alpha$-admissible mappings in metric spaces. The purpose of this paper is to present a new class of contractive pair of mapp...

A new, simple and unified approach in the theory of contractive mappings was recently given by Samet \emph{et al.} (Nonlinear Anal. 75, 2012, 2154-2165) by using the concepts of $\alpha$-$\psi$-contractive type mappings and $\alpha$-admissible mappings in metric spaces. The purpose of this paper is to present a new class of contractive pair of mapp...

Purpose: Ketogenic diets are high in fat and low in carbohydrates as well as protein which forces cells to rely on lipid oxidation and mitochondrial respiration rather than glycolysis for energy metabolism. Cancer cells (relative to normal cells) are believed to exist in a state of chronic oxidative stress mediated by mitochondrial metabolism. The...

To evaluate conventional brachytherapy (BT) plans using dose-volume parameters and high resolution (3 Tesla) MRI datasets, and to quantify dosimetric benefits and limitations when MRI-guided, conformal BT (MRIG-CBT) plans are generated. Fifty-five clinical high-dose-rate BT plans from 14 cervical cancer patients were retrospectively studied. All co...

Purpose: To evaluate equivalent dose in 2 Gy (EQD2) parameters from an integrated EQD2 DVH of EBRT and HDR plans and compare them with the estimated values per GEC-ESTRO recommendations. Methods: EBRT plans (Pinnacle, Phillips) consist of 45Gy (1.8Gy/fraction) and, if necessary, a 5.4- 9 Gy (1.8Gy/fraction) parametrial and/or paraaortic boost. A...

In this treatment planning study, the potential benefits of a rotating shield brachytherapy (RSBT) technique based on a partially-shielded electronic brachytherapy source were assessed for treating cervical cancer. Conventional intracavitary brachytherapy (ICBT), intracavitary plus supplementary interstitial (IS+ICBT), and RSBT treatment plans for...

PET-CT images have been widely used in clinical practice for radiotherapy treatment planning of the radiotherapy. Many existing segmentation approaches only work for a single imaging modality, which suffer from the low spatial resolution in PET or low contrast in CT. In this work we propose a novel method for the co-segmentation of the tumor in bot...

Purpose: The authors present a rapid emission angle selection (REAS) method that enables the efficient selection of the azimuthal shield angle for rotating shield brachytherapy (RSBT). The REAS method produces a Pareto curve from which a potential RSBT user can select a treatment plan that balances the tradeoff between delivery time and tumor dose...

In this paper, new mathematical model is developed for computing the rectangular windowed low-pass FIR filter transfer function where the rotation angle of fractional Fourier transform is used as a free parameter. By changing the rotation angle in the range from $0$ 0 to $\pi /2$ π / 2 , the transition bandwidth and the stop-band attenuatio...

Four-dimensional CT scans provides valuable motion information of patient throughout different respiratory phases. PET, on the other hand, provides functional information about tumor, which differentiate tumor from normal tissue effectively. However, manually contouring structures of interest on 4D CT is prohibitively tedious due to the large amoun...

We perform a clinical retrospective study to determine whether a vaginal balloon-packing system provides a dosimetric reduction to organs at risk (OARs) versus traditional gauze packing for gynecological high-dose-rate brachytherapy (HDR-BT). We also test various balloon filling materials for optimizing imaging quality. Filling materials for balloo...

In this paper, a numerical method is proposed to solve the transient state of Markovian system of equations. Such equations appear in the field of reliability engineering for systems having variable failure and repair rates. Generally, steady state behaviour of the system model is studied due to some constraint on obtaining transient state solution...