FIXED POINT THEOREMS FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS

By G. Jungck, B. Rhoades, Ioan A. Rus. 2006

306 citations recorded by the source corpus.

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Citations in the corpus

A Note on Occasionally Weakly Compatible Maps (2009, background): “Consequently, the following statement of Abbas and Rhoades [2, p.1, l11−12] is misleading: “In the recent paper of Jungck and Rhoades [4], the concept of occasionally weakly compatible maps (owc) was introduced”.”
On Fixed Point theorems in Fuzzy Metric Spaces (2013, background): “Definition 1.6 [11] Two self mappings f and g of a fuzzy metric space (X,M, *) are called compatible if lim M(fgxn, gfxn, t) = 1 n whenever {xn} is a sequence in X such that lim fxn = lim g xn = x for some x in X. n n Definition 1.7 [5]: Two self maps f and g of a fuzzy metric space (X,M, *) are…”
On Fixed Point Theorems in Fuzzy Metric Spaces (2010, background): “14 [13] Let X be a set, f, g owc self maps of X.”
Common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions (2010, background): “Ourmain objective in this note is to generalize some fixed point theorems due to Jungck and Rhoades [8,9].”
Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type (2007, background): “Copyright © 2007 M. Abbas and B. E. Rhoades.”
Altering Distance and Common Fixed Points under Implicit Relations (2009, background): “[8] Let X be a non-empty set, and let f and g be owc self-mappings of X.”
Common fixed point theorems for pairs of subcompatible maps. (2008, background): “In 1998, Pathak et al. [12] introduced an extension of compatibility of type (A) by giving the notion of compatibility of type (C) and they proved a common fixed point theorem of Greguš type for four compatible maps of type (C) in a Banach space.”