Common Fixed Point Theorems for Contractive Mappings of Integral Type in G -Metric Spaces and Applications-Reference-Cited by-同舟云学术

Common Fixed Point Theorems for Contractive Mappings of Integral Type in G -Metric Spaces and Applications

Published:2021-01-31 Issue: Volume:2021 Page:1-15
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Zhang Fengrong¹^ORCID,Zhang Xiangshuai²^ORCID,Hao Yan³^ORCID

Affiliation:

1. School of Information Science and Engineering, Dalian Polytechnic University, Dalian, Liaoning 116034, China

2. Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, China

3. School of Mathematics and System Science, Shenyang Normal University, Shenyang, Liaoning 110034, China

Abstract

Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in

G

-metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.

Funder

Science and Research Project Foundation of Liaoning Province Education Department

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6619964.pdf

Reference22 articles.

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