# S. M. A. AleomraninejadQom University Of Technology · Department of Mathematics

S. M. A. Aleomraninejad

Assitant Professor

## About

40

Publications

3,798

Reads

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266

Citations

Introduction

Journal: Mathematics and Computational Sciences (http://mcs.qut.ac.ir/) is an international peer-reviewed, open access journal and free of charge.

Additional affiliations

Education

August 2010 - August 2013

August 2004 - July 2005

## Publications

Publications (40)

The aim of this paper is to study the F-contraction mapping introduced by Wardowski to obtain fixed point results by method of Samet in generalized complete metric spaces. Our findings extend the results announced by Samet methods and some other works in generalized metric spaces.

In this paper, we combine the sinc and self-consistent methods to solve a class of non-linear eigenvalue differential equations. Some properties of the self-consistent and sinc methods required for our subsequent development are given and employed. Numerical examples are included to demonstrate the validity and applicability of the introduced techn...

The Sinc-Galerkin and Sinc-Collocation methods are presented to solve linear Schrodinger equation and obtain the electronic spectrum of linear Schrodinger equations. Some properties of the Sinc methods required for our subsequent development are given and utilized. In sequel, Sinc-Galerkin method is compared with Sinc-Collocation method. Numerical...

Nonlinear Schrödinger equations play essential roles in different physics and engineering fields. In this paper, a hyper-block finite-difference self-consistent method (HFDSCF) is employed to solve this stationary nonlinear eigenvalue equation and demonstrated its accuracy. By comparing the results with the Sinc self-consistent (SSCF) method and th...

In this paper anew algorithm considered on a real Hilbert space for finding acommonpoint in the solution set of a class of pseudomonotone equilibrium problem and the set of fixed points of nonexpansive mappings. We produce this algorithm by mappings Tk that are approximations of non-expansive mapping T. The strong convergence theorem of the propose...

In this paper, a general form of the Suzuki type function is considered on S- metric space, to get a fixed point. Then we show that our results generalize some old results.

Researchers usually neglect the electron–electron interaction effect when they study the optical properties of semiconducting nanostructures through the compact density matrix approach. In the existing papers, this work has also been done through self-consistent solution of the Schrödinger and Poisson equations. For the first time, we have investig...

In this paper, we study the effect of energy-dependent effective mass on optical properties of GaAs/GaxIn1−xAs and GaAs/AlxGa1−xAs quantum well systems through the compact density matrix approach. We solved the resulting nonlinear Schrödinger equation by a simple shooting method and present the algorithm. We show that the energy-dependent effective...

This paper is concerned with developing a discretized Euler-Lagrange variational method in order to study the nonlinear optical rectification coefficients of cosine-shaped quantum wells under the influence of an external electric field. The proposed approach is employed to solve a nonlinear Schrödinger equation, in which the nonlinear term is due t...

In this work, we investigate the absorption coefficient and refractive index changes of a parabolic quantum well in the presence of electron-electron interactions. We use a nonlinear term in our Schrödinger equation to simulate the electron-electron interaction effect. We solve the resulting nonlinear Schrödinger equation through an Euler-Lagrange...

کتاب آنالیز حقیقی به مباحث مورد نیاز ئانشجو در دوره کارشناسی ارشد پرداخته. مثال های مختلف به شیوه ای ساده، در راستای تفهیم درس ارائه شده است. حل برخی از تمرین های رویدن و رودین در این کتاب آمده است

We numerically investigate the optical rectification coefficients (ORCs), spin density distributions, and electronic properties of cylindrical quantum dots in the presence of Rashba spin-orbit interactions. Effects of spin-orbit interaction strength, effective mass, and quantum dot radius are studied. The resulting coupled differential equations ar...

We obtain sufficient conditions for existence of random fixed point of Suzuki type random multifunctions and hemiconvex multifunctions. Our results generalize the known results in the literature.

In this paper, we study the effect of conduction band non-parabolicity on optical rectification coefficients (ORCs) of quantum well systems by using compact density matrix approach. To investigate the non-parabolicity effect, we include a fourth derivative of the wave function in the Schrödinger equation. Our calculations are based on high accuracy...

In this paper, we study spatial soliton propagation in a waveguide with periodic parabolic refractive index profile. Wave equation in the present of the refractive index profile includes diffraction, self- focusing (SF) and self-defocusing (SDF). To solve the wave equation, we use variational method and finally discuss the effect of self-defocusing...

In this work, we have studied a traveling wave packet when it travels through a rectangular quantum barrier and well. For this purpose, we have calculated the reflection, trapping and transmission coefficient of the cited quantum systems. We show that trapped part of the wave packet increases and then decreases with time. Deeper quantum wells have...

In this paper, we introduce the new generalization of contraction mapping by a new control function and an altering distance . We establish some existence results of fixed point for such mappings. Our results reproduce several old and new results in the literature.

In this work, we have studied a traveling soliton through a triangular refractive index waveguide. Our calculations have been performed with a 4th order Runge Kutta method which we have presented the algorithm. Then we have checked the numerical accuracy and found it desirable. In our investigations, the light beam inside a waveguide have been osci...

We prove fixed point theorems for Suzuki type multi-functions on complete metric spaces. An example is constructed to illustrate that our results are new.

In this paper, some multifunctions on partial metric space are defined and common fixed points of such multifunctions are discussed. The results presented in the paper generalize some of the existing results in the literature. Several conclusions of the main results are given.
MSC: 47H10, 54H10, 46T99.

In this paper, an integral type of Suzuki-type mappings is investigated for generalizing the Banach contraction theorem on a metric space. As an application, the existence of a continuous solution for an integral equation is obtained.

In this paper, we obtain some fixed point results on subgraphs of directed graphs. We show that the Caristi fixed point theorem and a version of Knaster-Tarski fixed point theorem are special cases of our results.

In this paper, we obtain some fixed point results on subgraphs of directed graphs. We show that the Caristi fixed point theorem and a version of Knaster-Tarski fixed point theorem are special cases of our results.
2010 MSC
47H10; 05C20; 54H25

In this paper, we obtain some fixed point results on subgraphs of directed graphs. We show that the Caristi fixed point theorem and a version of Knaster-Tarski fixed point theorem are special cases of our results.

Combining some branches is a typical activity in different fields of science, especially in mathematics. Naturally, it is notable in fixed point theory. Over the past few decades, there have been a lot of activity in fixed point theory and another branches in mathematics such differential equations, geometry and algebraic topology. In 2006, Espinol...

Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive
multifunctions. In this paper, we generalize some of their results to Suzuki-type multifunctions.
Mathematics Subject Classification (2010)47H09–47H10

In order to generalize the well-known Banach contraction theorem, many authors have introduced various types of contraction inequalities. In 2008, Suzuki introduced a new method (Suzuki (2008) [4]) and then his method was extended by some authors (see for example, Dhompongsa and Yingtaweesittikul (2009), Kikkawa and Suzuki (2008) and Mot and Petrus...

Abstract. The notion of hemi-convex multifunctions is introduced. It is shown that each convex multifunction is hemi-convex, but the converse is not true. Some fixed point results for hemi-convex multifunctions are also
proved.

## Projects

Projects (3)

Fixed point theory is an active area of research with wide range of applications in various directions. It is concerned with the results which state that under certain conditions a self map f on a set X admit one or more fixed point. Fixed point theory started almost immediately after the classical analysis began its rapid development. The further growth was motivated mainly by the need to prove existence theorems for differential and integral equations. Thus the fixed point theory started as purely analytical theory. Fixed point theory can be divided into three major areas: Metric fixed point theory, Topological fixed point theory and Discrete fixed
point theory. Classical and major results in these areas are: Banach’s fixed point theorem, Brouwer’s fixed point theorem and Tarski’s fixed point theorem.
In 1922, Polish mathematician Stefan Banach formulated and proved a theorem which concerns under appropriate conditions the existence and uniqueness of a fixed point in a complete metric space. His result is known as Banach’s fixed point theorem or the Banach contraction principle. Due to its simplicity and generality, the contraction principle has drawn attention of a very large number of mathematicians.
After enormous development of linear functional analysis the
time was ripe to focus on nonlinear problems. Then the role of the analytical fixed point theory became even more important.
The study of fixed points for set valued contractions and non expansive maps using the Hausdorff metric was initiated by Markin. Later, an interesting and rich fixed point theory for such maps has been developed. The theory of set valued maps has applications in control theory, convex optimization, differential inclusions and economics. Following the Banach contraction principle Nadler introduced the concept of set valued contractions and established that a set valued contraction possesses a fixed point in a complete metric space. Subsequently many authors generalized Nadler’s fixed point theorem in different way.
A constructive proof of a fixed point theorem makes the theorem twice as worthy because it yields an algorithm for computing a fixed point. Indeed, many fixed point theorems have constructive proofs, of which we might mention the geometric fixed point results due to Banach and Nadler, for single valued and set valued mappings. These results are of particular importance and play a fundamental role in nonlinear analysis. They are used prominently in denotational semantics, for example to give meaning to recursive programs. In fact, it is hard to overestimate their applicability and importance in mathematics. Among other applications, they are used to show the existence of solutions to differential equations, as well as the
existence of equilibria in game theory. Tarski’s fixed point theorem guarantees the existence of a fixed point of an order preserving function defined on a nonempty complete lattice. In theoretical computer
science, least fixed points of monotone functions are used to define program semantics. Tarski’s fixed point theorem has important applications in formal semantics of programming languages. Although Tarski’s proof is beautiful and elegant, but non constructive.
Recently there have been so many exciting developments in the field of existence of fixed point in partially ordered sets. This trend was started by Ran and Reurings; they extended the Banach contraction principle in partially ordered sets with some application to matrix equation. Their results are hybrid of the two classical theorems; Banach’s fixed point theorem and Tarski’s fixed point theorem. The results are applicable in some cases where neither Tarski’s theorem nor Knaster-Tarski or
Amman theorem which requires existence of supremum for every chain in X, are useful. Following the trend several researchers have recently obtained many significant results and shown there applications in different areas. This project will continue to further explore this area with the intension to look for new results with applications.