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

Keywords: Fuzzy metric spaces, Hadz ̆ic ́ type t-norm, weakly commuting mappings and variants, compatible mappings and variants, weak compatible mappings

Abstract

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.

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Author Biographies

Manish Jain, Ahir College, Rewari

Head,

Department of Mathematics,

Ahir College, Rewari.

Neetu Gupta, YMCAUST, Faridabad.

Assistant Professor,

Department of Mathematics,

YMCAUST, Faridabad.

Sanjay Kumar, DCRUST, Murthal

Assistant Professor,

Department of Mathematics,

DCRUST, Murthal, Sonepat.

Published
2019-03-31
Section
Research Articles