Zeinab Soltani - Academia.edu (original) (raw)

Papers by Zeinab Soltani

Research paper thumbnail of A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces

Fixed Point Theory and Applications, 2014

We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, whi... more We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directions the celebrated fixed point theorems of Boyd and Wong, and Matkowski. Some illustrative examples are also given. MSC:47H10, 54H25, 54E50.

Research paper thumbnail of Noncoercive and Noncontinuous Equilibrium Problems (Existence Theorem in Infinite Dimensional Spaces)

arXiv (Cornell University), Jan 31, 2023

Research paper thumbnail of Existence of best proximity points for set-valued cyclic Meir–Keeler contractions

Fixed Point Theory, 2018

In this paper the concept of set-valued cyclic Meir-Keeler contraction map is introduced. The exi... more In this paper the concept of set-valued cyclic Meir-Keeler contraction map is introduced. The existence of best proximity point for such maps on a metric space with the UC property is presented.

Research paper thumbnail of A study of (wV)-like property on Banach spaces

Research paper thumbnail of Asymptotic Fixed Point Theory for Generalized Γ-Set Contraction Set-Valued Maps

In this paper, we prove existence of fixed point for asymptotic generalized γ-set contraction.

Research paper thumbnail of The Existance of the Optimum Solution for the System of Differential Equation in Hilbert Space

In this paper, we study the existence of the following optimum solution for the system of differe... more In this paper, we study the existence of the following optimum solution for the system of differential equation ...

Research paper thumbnail of Structure of the Fixed Point of Condensing Set-Valued Maps

In this paper, we present structure of the fixed point set results for condensing set-valued map.... more In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.

Research paper thumbnail of Fixed sets and endpoints of set-valued asymptotic contractions in metric spaces

Miskolc Mathematical Notes, 2014

By introducing a new concept called "set-valued asymptotic contraction of final type" in metric s... more By introducing a new concept called "set-valued asymptotic contraction of final type" in metric spaces, the existence and uniqueness of compact fixed sets for such mappings have been obtained. Furthermore, by adding additional conditions, we prove the existence and uniqueness of endpoints for these maps.

Research paper thumbnail of Fixed set theorems with application to the fixed point theory

DESCRIPTION This paper accepted in Journal of Nonlinear and Convex Analysis Abstract. Here, we sh... more DESCRIPTION This paper accepted in Journal of Nonlinear and Convex Analysis Abstract. Here, we show that continuous set-valued maps which are generalized set contraction on noncompact topological spaces have a maximal invariant (fixed) set. As an application, we prove the existence and uniqueness of endpoints for topological contraction mappings. Also, we present fractal set results for system of continuous set-valued maps on regular topological spaces. As application of our result, we show how some fixed point theorems can be established from these results.

Research paper thumbnail of Some asymptotic stationary point theorems in topological spaces

Topology and its Applications, 2012

In this paper, we present some asymptotic stationary point results for topological contraction ma... more In this paper, we present some asymptotic stationary point results for topological contraction mappings by relaxing the compactness of the space. Moreover, some classes of topological contractions are characterized.

Research paper thumbnail of The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued mappings

Journal of Fixed Point Theory and Applications, 2014

ABSTRACT On a subset of Banach space which is a locally finite union of closed, convex sets, we e... more ABSTRACT On a subset of Banach space which is a locally finite union of closed, convex sets, we extend the Lefschetz fixed point theorem for set-valued mappings. As an application of this result we give a partial answer to Nussbaum’s conjecture for set-valued mappings.

Research paper thumbnail of Existence of solution for nonlinear integral inclusions

Computational Methods for Differential Equations, 2021

In this paper, we prove the existence of solution of two nonlinear integral inclusions by using g... more In this paper, we prove the existence of solution of two nonlinear integral inclusions by using generalization of Krasnoselskii fixed point theorem for set-valued mappings. As an application we prove the existence of solution of the boundary valued problem of ordinary differential inclusion.

Research paper thumbnail of A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces

Fixed Point Theory and Applications, 2014

We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, whi... more We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directions the celebrated fixed point theorems of Boyd and Wong, and Matkowski. Some illustrative examples are also given. MSC:47H10, 54H25, 54E50.

Research paper thumbnail of Noncoercive and Noncontinuous Equilibrium Problems (Existence Theorem in Infinite Dimensional Spaces)

arXiv (Cornell University), Jan 31, 2023

Research paper thumbnail of Existence of best proximity points for set-valued cyclic Meir–Keeler contractions

Fixed Point Theory, 2018

In this paper the concept of set-valued cyclic Meir-Keeler contraction map is introduced. The exi... more In this paper the concept of set-valued cyclic Meir-Keeler contraction map is introduced. The existence of best proximity point for such maps on a metric space with the UC property is presented.

Research paper thumbnail of A study of (wV)-like property on Banach spaces

Research paper thumbnail of Asymptotic Fixed Point Theory for Generalized Γ-Set Contraction Set-Valued Maps

In this paper, we prove existence of fixed point for asymptotic generalized γ-set contraction.

Research paper thumbnail of The Existance of the Optimum Solution for the System of Differential Equation in Hilbert Space

In this paper, we study the existence of the following optimum solution for the system of differe... more In this paper, we study the existence of the following optimum solution for the system of differential equation ...

Research paper thumbnail of Structure of the Fixed Point of Condensing Set-Valued Maps

In this paper, we present structure of the fixed point set results for condensing set-valued map.... more In this paper, we present structure of the fixed point set results for condensing set-valued map. Also, we prove a generalization of the Krasnosel'skii-Perov connectedness principle to the case of condensing set-valued maps.

Research paper thumbnail of Fixed sets and endpoints of set-valued asymptotic contractions in metric spaces

Miskolc Mathematical Notes, 2014

By introducing a new concept called "set-valued asymptotic contraction of final type" in metric s... more By introducing a new concept called "set-valued asymptotic contraction of final type" in metric spaces, the existence and uniqueness of compact fixed sets for such mappings have been obtained. Furthermore, by adding additional conditions, we prove the existence and uniqueness of endpoints for these maps.

Research paper thumbnail of Fixed set theorems with application to the fixed point theory

DESCRIPTION This paper accepted in Journal of Nonlinear and Convex Analysis Abstract. Here, we sh... more DESCRIPTION This paper accepted in Journal of Nonlinear and Convex Analysis Abstract. Here, we show that continuous set-valued maps which are generalized set contraction on noncompact topological spaces have a maximal invariant (fixed) set. As an application, we prove the existence and uniqueness of endpoints for topological contraction mappings. Also, we present fractal set results for system of continuous set-valued maps on regular topological spaces. As application of our result, we show how some fixed point theorems can be established from these results.

Research paper thumbnail of Some asymptotic stationary point theorems in topological spaces

Topology and its Applications, 2012

In this paper, we present some asymptotic stationary point results for topological contraction ma... more In this paper, we present some asymptotic stationary point results for topological contraction mappings by relaxing the compactness of the space. Moreover, some classes of topological contractions are characterized.

Research paper thumbnail of The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued mappings

Journal of Fixed Point Theory and Applications, 2014

ABSTRACT On a subset of Banach space which is a locally finite union of closed, convex sets, we e... more ABSTRACT On a subset of Banach space which is a locally finite union of closed, convex sets, we extend the Lefschetz fixed point theorem for set-valued mappings. As an application of this result we give a partial answer to Nussbaum’s conjecture for set-valued mappings.

Research paper thumbnail of Existence of solution for nonlinear integral inclusions

Computational Methods for Differential Equations, 2021

In this paper, we prove the existence of solution of two nonlinear integral inclusions by using g... more In this paper, we prove the existence of solution of two nonlinear integral inclusions by using generalization of Krasnoselskii fixed point theorem for set-valued mappings. As an application we prove the existence of solution of the boundary valued problem of ordinary differential inclusion.