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- Title
A unique common fixed point for a family of set-valued mappings.
- Authors
Bouhadjera, Hakima; Beloul, Said
- 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].
- Subjects
FIXED point theory; SET-valued maps; COMPLETENESS theorem; CONTRACTIONS (Topology); CONTINUOUS functions
- Publication
General Mathematics, 2021, Vol 29, Issue 1, p79
- ISSN
1221-5023
- Publication type
Article
- DOI
10.2478/gm-2021-0007