Abstract
In this paper, we prove existence of coincidence points and a common fixed point theorem for four maps under contractive conditions in cone metric spaces for non continuous mappings and relaxation of completeness in the space. These results extend and improve several well known comparable results in the existing literature. AMS Subject Classification: 47H10, 54H25. Keywords: Cone metric space; Common fixed point; Coincidence point.
Highlights
In 2007 Huang and Zhang [3] have generalized the concept of a metric space, replacing the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different contractive conditions
Abbas and Jungck [1] and Abbas and Rhoades [2] have studied common fixed point theorems in cone metric spaces
Abbas and Jungck [1] have obtained coincidence points and common fixed point theorems for two mappings in cone metric spaces .The purpose of this paper is to extend and improves the fixed point theorem of [6]
Summary
Introduction and preliminariesIn 2007 Huang and Zhang [3] have generalized the concept of a metric space, replacing the set of real numbers by an ordered Banach space and obtained some fixed point theorems for mapping satisfying different contractive conditions. Abbas and Jungck [1] and Abbas and Rhoades [2] have studied common fixed point theorems in cone metric spaces (see [3,4] and the references mentioned therein). Abbas and Jungck [1] have obtained coincidence points and common fixed point theorems for two mappings in cone metric spaces .The purpose of this paper is to extend and improves the fixed point theorem of [6].
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