κ G -Contractive Mappings in Fuzzy Metric Spaces

Author:

Samreen Maria1,Hussain Sharafat12,Aydi Hassen345ORCID,Ulrich Gaba Yaé567ORCID

Affiliation:

1. Department of Mathematics, Quaid-i-Azam University Islamabad, Islamabad, Pakistan

2. Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh, Pakistan

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

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

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

6. Quantum Leap Africa (QLA), AIMS Rwanda Centre, Remera Sector KN 3, Kigali, Rwanda

7. African Center for Advanced Studies, P.O. Box 4477, Yaounde, Cameroon

Abstract

This article is concerned with a class of contractions in the framework of a fuzzy metric space endowed with a graph. The main results obtained not only broaden but also generalize a number of relevant results in the literature. Particularly, we get some results for cyclic contractions in fuzzy metric spaces. We also consider an integral equation.

Publisher

Hindawi Limited

Subject

General Mathematics

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