COMMON FIXED POINT THEOREM FOR COMPATIBLE MAPPINGS OF TYPE (A-1) IN INTUITIONISTIC MENGER SPACE 

By

Varsha Sharma 

Department of Mathematics, IES, IPS Academy, Knowledge Village, AB Road, Indore-452012, Madhya Pradesh, India Email:varshasharma@ipsacademy.org 

(Received: September 27, 2021, Revised : December 20, 2021, Accepted : May 26, 2022) 

  DOI: https://doi.org/10.58250/Jnanabha.2022.52128

Abstract

The present paper aims to prove some new common fixed point theorems in intutionistic Menger spaces. In this paper some common fixed point results for two pairs of compatible mappings of type (A-1) satisfying contractive condition on intuitionistic menger space are also established. The concept of compatible mappings of type (A-1) was given by Khan et al. [6]. Our results substantially generalize and improve a multitude of relevant common fixed point theorems of the existing literature in metric as well as intutionistic menger spaces. 

2010 Mathematics Subject Classification: 54H25, 47H10 

Keywords and Phrases: Common fixed point, Intuitionistic menger space, Compatible mappings, Compatible mappings of type (A-1)