Coupled points for total weakly contraction mappings via ρ-distance

Abstract

In this paper, the total weakly contraction mappings and T-total weakly contraction mappings are defined with respect to ρ-distance. The concepts of mixed monotone and general mixed monotone are used to prove some theorems about coupled fixed points, common fixed point and coincidence points for these mappings in partially general b-metric spaces which equipped with ρ-distance.