On symmetric Meir-Keeler contraction type couplings with an application-Reference-Cited by-同舟云学术

On symmetric Meir-Keeler contraction type couplings with an application

Published:2022 Issue:9 Volume:36 Page:2911-2920
ISSN:0354-5180
Container-title:Filomat
language:en
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Author:

Aydi Hassen¹,Işıkd Hüseyin²,Barakat M.A.³,Felhi Abdelbasset⁴

Affiliation:

1. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia + Department Of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan + Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

2. Department of Engineering Science, Bandırma Onyedi Eylül University, Bandırma, Balıkesir, Turkey

3. Department of Mathematics, College of Al Wajh, University of Tabuk, Saudi Arabia + Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut , Egypt

4. Institut préparatoire aux études d’ingénieurs de Bizerte, Carthage University, Tunisia

Abstract

Recently, a class of mappings named as couplings was introduced in [U.P.B. Sci. Bull. Series A, 79 (2017), 1-12]. Based on this concept, we introduce symmetric Meir-Keeler couplings and we ensure the existence of strong coupled fixed points. We present some concrete examples to support the obtained results. Furthermore, as an application of our results, we investigate the existence of a unique solution to a system of integral equations.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference15 articles.

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3. H. Aydi, E. Karapinar, New Meir-Keeler type tripled fixed point theorems on ordered partial metric spaces, Mathematical Problems in Engineering, 2012 (2012), Article ID 409872.

4. S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundam. Math., 3 (1992), 133-181.

5. Y.J. Cho, P.P. Murthy, J. Jungck, A common fixed point theorem of Meir and Keeler type, Internat. J. Math. Math. Sci., 16 (1993), 669-674.

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