COMMON FIXED POINT THEOREMS IN RIGHT COMPLETE DISLOCATED QUASI $\mathcal{G}-$ FUZZY METRIC SPACES

Authors

  • D. Poovaragavan (PG and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai, Tamil Nadu - 630561, INDIA)
  • M. Jeyaraman (PG and Research Department of Mathematics, Raja Doraisingam Government Arts College, Sivagangai, Tamil Nadu - 630561, INDIA)

Keywords:

Common fixed point, right complete quasi $\mathcal{G}-$ fuzzy metric spaces, $\alpha -\psi$ contractive mappings, $\mathcal{G}-\alpha-$ admissible mapping with respect to $\eta$.

Abstract

The aim of this paper is to present the ideas of right complete dislocated quasi $\mathcal{G}-$ fuzzy metric spaces and find the common fixed point results for mapping satisfying the $\alpha - \psi$ locally contractive mappings for a couple of such maps in a closed ball in right complete dislocated quasi $\mathcal{G}-$ fuzzy metric spaces. An example is likewise given which outline the predominance of our outcomes.

 

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Published

2023-06-19 — Updated on 2023-07-20

Issue

Vol. 18 No. 01 (2022): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles