Generalized T-Hardy Rogers Contraction Theorems In Cone Metric Spaces With C- Distance

Research Article
Kaushik Das and Surendra Kumar Tiwari
DOI: 
http://dx.doi.org/10.24327/ijrsr.2019.1002.3164
Subject: 
science
KeyWords: 
Cone metric space, complete cone metric space, c-distance, common fixed point, T- Reich contraction.
Abstract: 

A new concept of the c-distance in cone metric spaces has been introduced by Cho et al. [12] in 2011. Recently, Tiwari, S. K.et al. [30] in 2017 introduced the T-Hardy Rogers contraction under the concept of c-distance in cone metric spaces and proved uniqueness fixed point results. The purpose of this paper is to establish the generalization of T-Hardy Rogers contractive type of mapping on complete cone metric spaces. Our results generalize and extend some well known results in the literature