New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces-Reference-Cited by-同舟云学术

New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces

Published:2021-01-16 Issue: Volume:2021 Page:1-8
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Ali Muhammad Usman¹^ORCID,Aydi Hassen²³⁴^ORCID,Alansari Monairah⁵

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

2. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

3. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

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

Abstract

Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. This article presents generalizations of above results by omitting the assumption that all closed and bounded subsets are compact.

Funder

King Abdulaziz University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6641342.pdf

Reference24 articles.

1. Weighted Sobolev interpolation inequalities on product spaces

2. Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs

3. On the complexity of the disjunction property in intuitionistic and modal logics