Common fixed point results for various mappings in fuzzy metric spaces with application

In this paper, first we discuss the variants of the weakly commuting and compatible mappings in the context of coupled fixed point theory of fuzzy metric spaces. Secondly, we investigate the existence and uniqueness of the common fixed point for pairs of weakly compatible mappings satisfying a new c...

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Bibliographic Details
Published in:	Boletim da Sociedade Paranaense de Matemática Vol. 38; no. 5; pp. 33 - 71
Main Authors:	Jain, Manish, Gupta, Neetu, Kumar, Sanjay
Format:	Journal Article
Language:	English
Published:	Sociedade Brasileira de Matemática 01-01-2020
Subjects:	compatible mappings and variants Fuzzy metric spaces Hadz ̆ic ́ type t-norm weak compatible mappings weakly commuting mappings and variants
Online Access:	Get full text
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Summary:	In this paper, first we discuss the variants of the weakly commuting and compatible mappings in the context of coupled fixed point theory of fuzzy metric spaces. Secondly, we investigate the existence and uniqueness of the common fixed point for pairs of weakly compatible mappings satisfying a new contraction condition in the setup of fuzzy metric spaces with Had i type t-norm . Further, we talk about some results for the variants of weakly commuting and compatible mappings. At the end, as an application, we obtain metrical version of the discussed results.
ISSN:	0037-8712 2175-1188
DOI:	10.5269/bspm.v38i5.39696