Common Fixed-Point Theorems in the Partial b -Metric Spaces and an Application to the System of Boundary Value Problems-Reference-Cited by-同舟云学术

Common Fixed-Point Theorems in the Partial b -Metric Spaces and an Application to the System of Boundary Value Problems

Published:2021-09-21 Issue: Volume:2021 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Nazam Muhammad¹^ORCID,Hamid Zahida¹^ORCID,Al Sulami Hamed²^ORCID,Hussain Aftab²^ORCID

Affiliation:

1. Department of Mathematics, Allama Iqbal Open University, H-8 Islamabad, Pakistan

2. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

In this paper, we investigate the conditions for the existence of the common fixed points of generalized contractions in the partial

b

-metric spaces endowed with an arbitrary binary relation. We establish some unique common fixed-point theorems. The obtained results may generalize and improve earlier fixed-point results. We provide examples to illustrate our findings. As an application, we discuss the common solution to the system of boundary value problems.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/7777754.pdf

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