A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations-Reference-Cited by-同舟云学术

A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations

Published:2019-12-31 Issue: Volume:2019 Page:1-6
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Soliman Ahmed H.¹²^ORCID,Zidan A. M.¹²

Affiliation:

1. King Khalid University, College of Science, Department of Mathematics, P.O. Box: 9004, Abha 61413, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut 71524, Egypt

Abstract

In this paper, we introduce a new coupled fixed point theorem in a generalized metric space and utilize the same to study the stability for a system of set-valued functional equations.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2019/4146328.pdf

Reference17 articles.

1. On the Stability of the Linear Functional Equation

2. Note on a Stability Theorem

3. Applications of fixed point theorems to the Hyers-Ulam stability‎ ‎of functional equations–a survey

4. The stability of certain functional equations

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