A best proximity point theorem for C-class-proximal non-self mappings and applications to an integro-differential system of equations-Reference-Cited by-同舟云学术

A best proximity point theorem for C-class-proximal non-self mappings and applications to an integro-differential system of equations

Published:2023 Issue:14 Volume:37 Page:4725-4742
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ayari M.I.¹,Aydi H.²,Hammouda H.³

Affiliation:

1. Math and Sciences Department, Community College, Qatar, Doha, Qatar + Carthage University, Institut National Des Sciences Appliquées et de Technologie, de Tunis, Tunis, Tunisie

2. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, Tunisia + China Medical University Hospital, China Medical University, Taichung, Taiwan

3. Université de Monastir, Institut Préparatoire des Etudes d’Ingénieurs de Monastir, Monastir, Tunisia

Abstract

In this paper, we propose a best proximity point theorem for a novel class of non-self-mappings by using the definition of a pair (F , h) of upper class of type II and the concept of C-class functions. Several consequences (including the case of self-mappings) of our obtained results are suggested. We support our obtained results by concrete examples. In the end, we consider an integro-differential system of equations. We ensure the existence of an optimal solution, which turns to be an exact solution of the system when boundary conditions are equal.

Publisher

National Library of Serbia

Reference37 articles.

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