GENERALIZED COMMON FIXED POINT THEOREMS FOR SIX SELF MAPS USING COMMON (E.A.) AND COMMON (CLR) PROPERTIES IN COMPLEX-VALUED METRIC SPACES
By
Akash Singhal
Research Scholar MGCGV Chitrakoot, (Satna)-485001, Madhya Pradesh, India
Email:akashsinghal78@gmail.com
(Received : January 12, 2021 ; In format : February 10, 2021 ; Finally Revised : November 07, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51224
Abstract
In this paper, we establish the existence and uniqueness of common fixed point for six self-mapping on complex-valued metric spaces by improving the condition of contraction and using the concept of common (E.A.) property and common (CLR) property. The derived results generalized some well-known results that exist in the literature.
2020 Mathematical Sciences Classification: Primary 54H25; Secondary 47H10
Keywords and Phrases: Common fixed point; Complex-Valued metric space; Property (E.A.); Property (CLR); Weakly compatible mappings.