MAPPINGS THAT FULFIL WEAK CONTRACTIONS WITH RESPECT TO THE F-INVARIANT SET AND THE C-DISTANCE

DOI: https://doi.org/10.56815/IJMRR.V2.I3.2023/1-3

Abstract

With this research, the author presents a fresh, easy-to-understand, and  unified method for studying coupled and tripled fixed point theory. As a broader version of traditional metric spaces, the cone metric space is a relatively new notion. These theorems generalise and extend a number of previously established conclusions with a similar structure in cone metric spaces. The purpose of this study is to extend the findings of linked fixed point theorems to tripled fixed point theorems by providing a definition of F-invariant sets denoted by M when M ϵ X6 . The major conclusion generalise and unify previous findings on triple fixed point theorems, including those of Poom et al.