Surendra Kumar Tiwari and Kaushik Das, Cone Metric Spaces and Fixed Point Theorems for Generalized T-Reich Contraction with c-Distance, Volume 2017, Number 6, Pages 1-9, 2017

# Surendra Kumar Tiwari and Kaushik Das, Cone Metric Spaces and Fixed Point Theorems for Generalized T-Reich Contraction with c-Distance, Volume 2017, Number 6, Pages 1-9, 2017

Abstract: A new concept of the c-distance in cone metric spaces has been introduced by Cho et al. [8] in 2011. Recently, Fadail et al. [24] in 2017 introduced the $T$-Reich 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 $T$-Reich contractive type of mapping on complete cone metric spaces. Our results generalize and extend some well known results in the literature.

Keywords: Cone metric space, complete cone metric space, $c$-distance, common fixed point, $T$-Reich contraction.

Surendra Kumar Tiwari and Kaushik Das, Cone Metric Spaces and Fixed Point Theorems for Generalized T-Reich Contraction with c-Distance, International Journal of Advances in Mathematics, Volume 2017, Number 6, Pages 1-9, 2017.