s. M. A. Aleomraninejad

• PHD
• Professor (Associate) at Qom University of Technology

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.