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Fixed point results of a generalized reversed F-contraction mapping and its application

Authors :
Shahid Bashir
Syed Muhammad Husnine
Naeem Saleem
Source :
AIMS Mathematics, Vol 6, Iss 8, Pp 8728-8741 (2021)
Publication Year :
2021
Publisher :
AIMS Press, 2021.

Abstract

In this paper, we introduce the reversal of generalized Banach contraction principle and mean Lipschitzian mapping respectively. Secondly, we prove the existence and uniqueness of fixed points for these expanding type mappings. Further, we extend Wardowski's idea of $ F $-contraction by introducing the reversed generalized $ F $-contraction mapping and use our obtained result to prove the existence and uniqueness of its fixed point. Finally, we apply our results to prove the existence of a unique solution of a non-linear integral equation.

Details

Language :
English
ISSN :
24736988
Volume :
6
Issue :
8
Database :
OpenAIRE
Journal :
AIMS Mathematics
Accession number :
edsair.doi.dedup.....efc0d42d3037d7396e6049a6ef6fe799