Some Coincidence and Common Fixed-Point Results on Cone b 2 -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations-Reference-Cited by-同舟云学术

Some Coincidence and Common Fixed-Point Results on Cone b 2 -Metric Spaces over Banach Algebras with Applications to the Infinite System of Integral Equations

Published:2021-09-03 Issue: Volume:2021 Page:1-14
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Islam Ziaul¹^ORCID,Sarwar Muhammad¹^ORCID,Filali Doaa²,Jarad Fahd³⁴^ORCID

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara Dir (L), Pakistan

2. Mathematical Science Department, College of Science, Princess Nourah Bint Abdulrahman University, Saudi Arabia

3. Department of Mathematics, Çankaya University, Etimesgut, Ankara, Turkey

4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

In this article, common fixed-point theorems for self-mappings under different types of generalized contractions in the context of the cone

b_{2}

-metric space over the Banach algebra are discussed. The existence results obtained strengthen the ones mentioned previously in the literature. An example and an application to the infinite system of integral equations are also presented to validate the main results.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9991117.pdf

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