A unique common fixed point for a family of set-valued mappings-Reference-Cited by-同舟云学术

A unique common fixed point for a family of set-valued mappings

Published:2021-06-01 Issue:1 Volume:29 Page:79-94
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Bouhadjera Hakima¹,Beloul Said²

Affiliation:

1. Badji Mokhtar-Annaba University , Faculty of Sciences, Department of Mathematics, Laboratory of Applied Mathematics , P.O. Box 12 , Annaba , Algeria

2. El Oued University , Exact Science Faculty , P.O. Box 789 , El Oued , Algeria

Abstract

Abstract The main purpose of this paper is to establish some common fixed point theorems for single and set-valued mappings, under strict contractive conditions with no continuity, no completeness, no inclusions and without using neither compactness nor closeness. These theorems improve the results of Fisher [8], Ahmed [1] and [2], and others. Also, common fixed point theorems for two hybrid pairs satisfying a contractive condition of integral type are given improving the results of [3], [4] and [6].

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2021-0007

Reference15 articles.

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4. [4] S. Beloul, A. Tomar, A coincidence and common fixed point theorem for subsequentially continuous hybrid pairs of maps satisfying an implicit relation, Math. Morav., vol. 21, no. 2, 2017, 15-25.10.5937/MatMor1702015B

5. [5] H. Bouhadjera, A. Djoudi, Common fixed point theorems for single and set-valued maps without continuity, An. Şt. Univ. Ovidius Constanţa, vol. 16, no. 1, 2008, 49-58.