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Common Fixed Point Theorem via Cyclic (α,β)-(ψ,φ)S-Contraction with Applications

Authors :
Fahd Jarad
Mian Bahadur Zada
Muhammad Sarwar
Thabet Abdeljawad
Source :
Symmetry, Vol 11, Iss 2, p 198 (2019), Symmetry, Volume 11, Issue 2
Publication Year :
2019
Publisher :
MDPI AG, 2019.

Abstract

In this paper, we introduce the notion of cyclic ( &alpha<br />&beta<br />) - ( &psi<br />&phi<br />) s -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.

Details

ISSN :
20738994
Volume :
11
Database :
OpenAIRE
Journal :
Symmetry
Accession number :
edsair.doi.dedup.....8f125dd0a51adf681dcaf7a3a66e9782
Full Text :
https://doi.org/10.3390/sym11020198