Abstract

GUPTA, Vishal  and  VERMA, Manu. Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces. J. appl. res. technol [online]. 2020, vol.18, n.1, pp.27-33.  Epub Jan 05, 2021. ISSN 2448-6736.

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.

Keywords : ψ-contractive mappings; fuzzy metric space; control functions; weak contraction 2000 MSC: 54H25; 47H10.