Tripled Fixed Point Results in G_b-Metric Spaces

Abstract

In recent work authors were discussed fixed point results with various contractions like (ψ,ϕ)-weakly contractive mappings, cyclic contraction, E.A property, Suzuki-type contraction etc. in complete -metric spaces, With the help of completeness property and continuous function we obtained unique tripled fixed point in -metric spaces.

Objectives: To show tripled fixed point theorems in -metric spaces via new type of contraction and shown illustrate an example which supports the main result.

Methods: In recent work authors were discussed fixed point results with various contractions like (ψ, ϕ)-weakly contractive mappings, cyclic contraction, E.A property, Suzuki-type contraction etc. in complete -metric spaces, here we have showed tripled fixed point results by using new type of contraction.

Results: Unique tripled fixed points with new type of contraction in -metric spaces.

Conclusions: In this work we have obtained TFP results by using a new type of contraction and discussed corollary also an example which supports the main result.