Some fixed point results in dislocated probability

In this work, we shall give some new results about generalized common fixed point theorems for two mappings $ f : X\rightarrow X$ and $ T : X^{k}\rightarrow X$ , where $X$ is dislocated probability quasi Menger metric space (briefly $DP_{q}$M-Space) or dislocated probability Menger metric space (briefly, $DPM$-Space). Our result extends and generalizes many well known results.

Coupled fixed point theorems for weakly compatible mappings along with $CLR$ property in Menger metric spaces

Coupled fixed point problems have attracted much attention in recent times. The aim of this paper is to extend the notions of E.A. property, CLR property and JCLR property for coupled mappings in Menger metric space and use this notions to generalizes the recent results of Jian-Zhong Xiao. The main result is supported by a suitable example.