Unified common fixed point theorems under weak reciprocal continuity or without continuity

Common Fixed Point of Multivalued Mappings without Continuity

In this paper, we prove a common fixed point theorem for single-valued and multivalued mappings on a metric space using the minimal type commutativity condition. We show that continuity of any mapping is not necessary for the existence of a common fixed point.

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...

Fixed Point Theorems Using Reciprocal Continuity in 2 Non Archimedean Menger PM-Spaces

The intent of this paper is to establish a common fixed point theorem by using a new continuity condition in 2 Non-Archimedean Menger PM-space.This gives an alternative answer of the problem of Rhoades [6].Our result extends, generalizes and unifies several fixed point theorems on metric spaces, Menger probablistic-metric spaces and fuzzy metric spaces. Mathematics Subject Classification: 47H10...

Coupled Fixed Point Theorems under Weak Contractions

Common Fixed Point Theorem for Four Mappings without Continuity and Compatiblity on Intuitionistic Fuzzy Metric Space

The purpose of this paper is to prove common fixed point theorem for four mappings without continuity and compatibility on intuitionistic fuzzy metric space.