Some Valid Generalizations of Boyd and Wong Inequality and ψ,ϕ-Weak Contraction in Partially Ordered b−Metric Spaces-Reference-Cited by-同舟云学术

Some Valid Generalizations of Boyd and Wong Inequality and ψ,ϕ-Weak Contraction in Partially Ordered b−Metric Spaces

Published:2020-07-13 Issue: Volume:2020 Page:1-13
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Jamal Noor¹,Abdeljawad Thabet²³⁴^ORCID,Sarwar Muhammad¹^ORCID,Mlaiki Nabil²^ORCID,Sumati Kumari Panda⁵^ORCID

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara, Pakistan

2. Department Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

5. Department of Mathematics, GMR Institute of Technology, Rajam 532 127, Andhra Pradesh, India

Abstract

In this manuscript, we use ψ,ϕ-weak contraction to generalize coincidence point results which are established in the context of partially ordered b-metric spaces. The presented work explicitly generalized some recent results from the existing literature. Examples are also provided to show the authenticity of the established work.

Funder

Prince Sultan University

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2020/9307302.pdf

Reference46 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. On nonlinear contractions

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