On a pair of fuzzy dominated mappings on closed ball in the multiplicative metric space with applications

The purpose of this paper is to establish some fixed point results for a pair of fuzzy dominated mappings satisfying contractive conditions on closed ball in multiplicative metric space. Some new fixed point results with graphic contraction on closed ball for a pair of fuzzy graph dominated mappings...

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Bibliographic Details
Published in:Fuzzy sets and systems Vol. 437; pp. 81 - 96
Main Authors: Rasham, Tahair, Shabbir, Muhammad Sajjad, Agarwal, Praveen, Momani, Shaher
Format: Journal Article
Language:English
Published: Elsevier B.V 15.06.2022
Subjects:
Fixed point
Functional equations
Graphic contractions
Integral equations
Pair of [formula omitted]-dominated fuzzy mappings
Pair of α⁎-dominated fuzzy mappings
Functional equations
Integral equations
Graphic contractions
Fixed point
ISSN:0165-0114, 1872-6801
Online Access:Get full text
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Summary:The purpose of this paper is to establish some fixed point results for a pair of fuzzy dominated mappings satisfying contractive conditions on closed ball in multiplicative metric space. Some new fixed point results with graphic contraction on closed ball for a pair of fuzzy graph dominated mappings on multiplicative metric space have been established. Furthermore, we find a unique common solution for a system of non linear Voltera type integral equations and lastly we give an application to ensure the existence of common bounded solution of a functional equation in dynamic programming.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2021.09.002