Manish Jain

Manish Jain

M.ScM.Sc.(Mathematics), CSIR-NET (AIR-13)
Analytical, Computational and Graphical Analysis of Mappings And Stability of Fixed Points: Explorers Lab

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27
Publications
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132
Citations

Publications

Publications (27)
Poster
Full-text available
We are pleased to invite you and your colleagues to contribute your research work to an Edited Book entitled "Banach Contraction Principle: A Centurial Journey" to be published by Springer. We firmly believe that your contribution will enrich the academic and intellectual content of the book along with opening up new avenues of research in this fie...
Article
The question of relaxing the compatible hypothesis of the pair of mappings in fixed point theory has always been remained an open problem. We address such an open problem raised by Choudhury et al. [4] and also explicitly settles the issue of monotone and continuity hypotheses of the involved mappings in coupled coincidence point results. Moreover,...
Article
Full-text available
In this paper, we introduce the notion of probabilistic $ (\omega, \gamma, \phi) $-contraction and establish the existence coupled coincidence points for mixed monotone operators subjected to the introduced contraction in the framework of ordered Menger $ PM $-spaces with Had${\rm{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}} \over...
Article
The common fixed point for ordered generalized φ−contraction in the environment of an ordered fuzzy metric space is determined under minimum possible conditions. A result in ordered metric space is also obtained. The work is supported with a suitable example. Further, as an application, the utility of the present work is shown by solving functional...
Article
Full-text available
In this paper, we present a new coupled Φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi $$\end{document}-contraction principle for w-compatible mappings with (CLR...
Article
Full-text available
In this paper, first we discuss the variants of the weakly commuting and compatible mappings in the context of coupled fixed point theory of fuzzy metric spaces. Secondly, we investigate the existence and uniqueness of the common fixed point for pairs of weakly compatible mappings satisfying a new contraction condition in the setup of fuzzy metric...
Article
In this note, we point out and rectify an error in a recently published paper “PP Murthy, Rashmi, VN Mishra, Tripled Coincidence Point Theorem For Compatible Maps In Fuzzy Metric Spaces, Electronic Journal of Mathematical Analysis and Applications, Vol. 4(2) July 2016, pp. 96-106”.
Article
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We prove Theorem 1.3 of [2] under a more general situation and rectify some typographic errors that appear in the paper.
Article
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In the setting of partially ordered metric spaces, we introduce the notion of generalized symmetric g-Meir-Keeler type contractions and use the notion to establish the existence and uniqueness of coupled common �xed points. Our notion extends the notion of generalized symmetric Meir-Keeler contractions given by Berinde et. al. [V. Berinde, and M. P...
Article
Full-text available
The object of this paper is to establish the existence and uniqueness of coupled fixed points under a ( φ , ψ )-contractive condition for mixed monotone operators in the setup of partially ordered metric spaces. Presented work generalizes the recent results of Berinde (2011, 2012) and weakens the contractive conditions involved in the well-known...
Article
Full-text available
We compute coupled coincidence points without assuming the condition of compatibility of the pair of maps and relaxing the continuity condition of both the maps. In fact, our technique improves the technique introduced by Sintunavarat et al. (2011) which was then used by Hussain et al. (2012) to obtain coupled coincidence points.
Article
Full-text available
In this paper, we generalize the results of Kumar and Fisher [S. Kumar, B. Fisher, A common fixed point theorem in fuzzy metric space using property (E.A.) and implicit relation, Thai J. Math. 8 (3) (2010) 439-446.] using weakly compatible mappings along with property (CLRg). We also provide an example in support our result. © 2014 by the Mathemati...
Article
Full-text available
The aim of this paper is to prove coupled coincidence and coupled common fixed point theorems for a mixed ɡ-monotone mapping satisfying nonlinear contractive conditions in the setting of partially ordered G-metric spaces. Present theorems are true generalizations of the recent results of Choudhury and Maity [Math Comput. Modelling 54 (2011), 73-79]...
Article
Full-text available
We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying (φ,ψ)- contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity [ Math. Comput. Model. , 54(1-2):73-79, 2011]. To illust...
Article
Full-text available
In this paper, first, we introduce the notion of weakly compatible maps for coupled maps and then prove a coupled fixed point theorem under more general t-norm(H-type norm) in Menger spaces. We support our theorem by providing a suitable example. At the end, we obtain an application.
Article
Full-text available
We establish the existence and uniqueness of coupled common fixed point for symmetric ( φ , ψ ) -contractive mappings in the framework of ordered G -metric spaces. Present work extends, generalize, and enrich the recent results of Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contr...
Article
Full-text available
In the setting of partially ordered metric spaces, using the notion of compatible mappings, we establish the existence and uniqueness of coupled common fixed points involving a -contractive condition for mixed g-monotone operators. Our results extend and generalize the well-known results of Berinde (Nonlinear Anal. TMA 74:7347-7355, 2011; Nonline...
Article
Full-text available
The aim of this paper is to extend the notions of E.A. property and CLRg property for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.

Questions

Questions (22)
Question
Could anyone help me with ordinary nonlinear BVPs for Affordable and clean energy resources
Question
Ate there any Research Project and Grants for individuals without involvement of employer in Mathematics?
Question
I am in need of SCIE list of mathematical journals during 2012, 2013, 2014. If anyone has the list, please send.
Also, the impact factor list during these years.
I shall be thankful.
With Sincere Regards,
Manish Jain
Question
Does anyone has paper on fixed points in partially ordered metric spaces for decreasing self mapping. Please send it.
Question
Book chapters are invited for being published in above mentioned book title by Nova Science Publishers.
Being editor, we invite your valuable contributions...
Fir more details, flyer is being attached...
Question
Chapters are invited for being published by Springer in above mentioned title.
Being editor, we invite your contribution...
Flyer is attached for your consideration...
Question
Can anyone please send me the web coupling figure of satellite.
Regards,
Manish Jain.
Question
Does Set of continuous functions on [0, 1] to [0, 1] forms a complete metric space?
Question
Can anyone suggest a faculty job or post doc position for fixed point theory researcher round the world.
… Read more
Question
Kindly share with me any details of Scopus indexed Mathematics conferences in India.
Question
If E is measurable, so is E + y for all y
For converse, if E+ y is measurable for all y, so is E.
But the question is if E + y is measurable for some fixed value of y, is E be measurable?

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