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Existence of fixed points of generalized set-valued F-contractions of b-metric spaces

Existence of fixed points of generalized set-valued F-contractions of b-metric spaces

Authors :
Basit Ali
Hafiza Aqsa Butt
Manuel De la Sen
Source :
AIMS Mathematics, Vol 7, Iss 10, Pp 17967-17988 (2022)
Publication Year :
2022
Publisher :
AIMS Press, 2022.

Abstract

This paper deals with the existence of non-empty fixed point sets of newly introduced generalized set-valued F-contractions of b-metric spaces. Some illustrative examples show that the new results in this paper generalize properly, unify and extend some related results in the existing literature. Moreover, we extract some important consequences of the results in b-metric spaces. Particularly, by setting b-metric constant equal to one, we obtain some specific cases showing notable enhancement of existing results yet in metric spaces.

Details

Language :
English
ISSN :
24736988
Volume :
7
Issue :
10
Database :
Directory of Open Access Journals
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.fd0d3b78bb914780914f7384010c56c6
Document Type :
article
Full Text :
https://doi.org/10.3934/math.2022990?viewType=HTML