Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces

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Vishal Gupta
Manu Verma

Abstract

This In this paper, we define new control functions to give unique fixed point in fuzzy metric space. A fruitful contractive condition of (ψ, ϕ)- type is used to obtain common fixed point theorem for two maps in fuzzy metric spaces. We extend the existing results in metric space to fuzzy metric space using these control functions. The first theorem is the extension of the result of Zhang and Song (2009) under the required contractive conditions. Second result is analogous to the result of Doric (2009) in metric spaces.

 

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How to Cite
Gupta, V., & Verma, M. (2020). Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces. Journal of Applied Research and Technology, 18(1). https://doi.org/10.22201/icat.24486736e.2020.18.1.930
Author Biographies

Vishal Gupta

Department of Mathematics, Maharishi Markandeshwar,

Manu Verma

Deemed to be University, Mullana, Haryana, India