scholarly journals Application To Lipschitzian and Integral Systems Via Quadruple Coincidence Point in Fuzzy Metric Spaces

2021 ◽  
Author(s):  
Hasanen A. Hammad ◽  
Manuel De la Sen
Keyword(s):  
Partially Ordered Set ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Ordered Set ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Integral Systems ◽  
Commuting Mapping ◽  
Theoretical Results ◽  
Quadruple Coincidence Point

Abstract Without a partially ordered set, in this manuscript, we investigate quadruple coincidence point (QCP) results for commuting mapping in the setting of fuzzy metric spaces (FMSs). Furthermore, some relevant ndings are presented to generalize some of the previous results in this direction. Ultimately, non-trivial examples and applications to nd a unique solution for Lipschitzian and integral quadruple systems are provided to support and strengthen our theoretical results.

scholarly journals Multivalued generalizations of fixed point results in fuzzy metric spaces

2016 ◽  
Vol 21 (2) ◽  
pp. 211-22 ◽  
Author(s):  
Tatjana Došenovic ◽  
Dušan Rakic ◽  
Biljana Caric ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Multivalued Mappings ◽  
Altering Distance Function ◽  
Fuzzy Metric ◽  
Altering Distance ◽  
Theoretical Results

This paper attempts to prove fixed and coincidence point results in fuzzy metric space using multivalued mappings. Altering distance function and multivalued strong {bn}-fuzzy contraction are used in order to do that. Presented theorems are generalization of some well known single valued results. Two examples are given to support the theoretical results.

scholarly journals Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 327 ◽  
Author(s):  
Naeem Saleem ◽  
Mujahid Abbas ◽  
Manuel Sen
Keyword(s):  
Approximate Solution ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fuzzy Metric Space ◽  
Optimal Approximate Solution ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

The purpose of this paper is to introduce α f -proximal H -contraction of the first and second kind in the setup of complete fuzzy metric space and to obtain optimal coincidence point results. The obtained results unify, extend and generalize various comparable results in the literature. We also present some examples to support the results obtained herein.

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