Sub-compatible maps, weakly commuting maps and common fixed points in cone metric spaces

Sub-Compatible Maps, Weakly Commuting Maps and Common Fixed Points in Cone Metric Spaces

The purpose of this paper is to obtain some common fixed point theorems under weaker conditions such as sub compatible mappings and weakly commuting with respect g in the setting of non normal cone metric space.

Weakly Compatible Maps in Cone Metric Spaces

The object of this paper is to establish a theorem for a unique common fixed point of four self mappings, weakly compatibile in pairs and satisfying a generalized contractive condition in a cone metric space. Our result generalizes and synthesizes the results of Abbas– Jungck [1], Arshad et al. [2], Huang–Zhang [3] and Vetro [8].

A COMMON FIXED POINT THEOREM FOR $psi$-WEAKLY COMMUTING MAPS IN L-FUZZY METRIC SPACES

In this paper, a common fixed point theorem for $psi$-weakly commuting maps in L-fuzzy metric spaces is proved.

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

Common fixed points for four maps in cone metric spaces

The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature. 2010 Elsevier Inc. All rights reserved.