Weak Compatibility in Menger Spaces

Fixed Point Theorem Using Compatibility of Type (a) and Weak Compatibility in Menger Space

In this paper, the concept of compatibility of type (A) and weak compatibility in Menger space has been applied to prove a common fixed point theorem for six self maps which generalizes the result of Pant et. al. [8].

Common Fixed Point Theorems For Finite Number Of Mappings Without Continuity And Compatibility In Menger Spaces

Introduction Sessa [9] generalized the notion of commuting maps given by Jungck [2] and introduced weakly commuting mappings. Further, Jungck [3] introduced more generalized commutativity called compatibility. In 1998, Jungck and Rhoades [4] introduced the notion of weakly compatible maps and showed that compatible maps are weakly compatible but converse need not true. Menger [5] introduced the...

Sub-compatibility and fixed point theorem in intuitionistic Menger space

In this paper, the new concepts of subcompatibility and subsequential continuity which are respectively weaker than occasionally weak compatibility and reciprocal continuity in intuitionistic Menger space has been applied to prove a common fixed point theorem. We extend the result of [1] from metric space to intuitionistic Menger space. Also we cited examples in support our results.

Weak Sub Sequential Continuous Maps in Non Archimedean Menger Pm Space via C-class Functions

This study deals with an establishment of some common fixed point theorems for weak sub sequential continuous and compatibility of type (E) maps via C-class functions in a non Archimedean Menger Probabilistic Metric space.

Generalized Distance and Common Fixed Point Theorems in Menger Probablistic Metric Spaces