Common fixed points for maps on cone metric space

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.

Common Fixed Points for Maps on Topological Vector Space Valued Cone Metric Spaces

Huang and Zhang 1 generalized the notion of metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a normal cone metric space. Subsequently, several other authors 2–5 studied the existence of common fixed point of mappings satisfying a contractive type condition in normal...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

Common fixed points of two maps in cone metric spaces

We prove the existence of points of coincidence and common fixed points of a pair of self mappings satisfying a generalized contractive condition in cone metric spaces. Our results generalize several well-known recent and classical results.

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.