This paper is devoted to prove the S. L. Singh’s common fixed point Theorem for commuting mappings in cone metric spaces. In this framework, we introduce the notions of generalized Kannan contraction, generalized Zamfirescu contraction and generalized Weak contraction for a pair of mappings, proving afterward fixed point results.

Novel cyclic contractions of the Kannan and Chatterjea type are presented in this study. With aid these brand-new contractions, new results for existence uniqueness fixed points setting complete generalized metric space have been established. Importantly, generalizations extensions point theorems by their cyclical expansions that found literature. Additionally, several existing on will be work....

The purpose of this paper is to introduce the class (a,b,c)-modified enriched Kannan pair mappings (T,S) in setting Banach space that includes mappings, contraction and nonexpansive some other mappings. Some examples are presented support concepts introduced herein. We establish existence common fixed point such pair. also show problem studied herein well posed. A convergence theorem for Krasno...

The aim of this paper is to extend the Kannan fixed point theorem from single-valued self mappings T : X → X to mappings F : X3 → X satisfying a Prešić-Kannan type contractive condition: d (F (x, y, z) , F (y, z, u)) ≤ k 8 [d (x, F (x, y, z)) + d (y, F (y, x, y))+ +d (z, F (z, y, x)) + d (y, F (y, z, u)) + d (z, F (z, y, z)) + d (u, F (u, z, y))], or a Prešić-Chatterjea type contractive conditi...