UNIFYING A MULTITUDE OF COMMON FIXED POINT THEOREMS EMPLOYING AN IMPLICIT RELATION

Common Fixed Point Theorems on Fuzzy Metric Spaces Using Implicit Relation

Received: 27 March 2012; Accepted: 25 July 2012. Published online: XX July. 2012 Abstract: In this paper, we prove a common fixed point theorem for occasionally weakly compatible mappings on fuzzy metric space satisfying an implicit relation. Our result never requires the completeness (or closedness) of the whole space (or subspaces), containment of ranges amongst involved mappings and continui...

Common Fixed Point Theorems in Fuzzy Metric Space using Implicit Relation

In this paper, we prove common fixed point theorems in fuzzy metric spaces for weakly compatible mappings along with property (E.A.) satisfying implicit relation. Property (E.A.) buys containment of ranges without any continuity requirement besides minimizing the commutativity conditions of the maps to commutativity at their point of coincidence. Moreover, property (E.A.) allows replacing the c...

Some Common Fixed Point Theorems Using Implicit Relation in 2-banach Spaces

In this article, we study the existence and uniqueness of a common fixed point of family of self mappings satisfying implicit relation on a 2-Banach space. We also prove wellposedness of a common fixed point problem. Full text

Common Fixed Point Theorems of Integral Type in Modular Spaces

Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping

In this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by Gregori and Sapena [V. Gregori, A. Sapena, On xed-point the- orems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252].