Some fixed point results in dislocated probability

Abstract

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.

Keywords

• Dislocated probabilistic Menger metric space
• Dislocated probabilistic quasi Menger metric space
• Coincidence and common fixed points
• Weakly compatible mappings
• Occasionally weakly compatible mappings