2012•Fixed Point Theory and ApplicationsOpen access

Some fixed and coincidence point theorems for expansive maps in cone metric spaces

Wasfı Shatanawi, Fadi Awawdeh

Abstract

In this article, we establish some common fixed and common coincidence point theorems for expansive type mappings in the setting of cone metric spaces. Our results extend some known results in metric spaces to cone metric spaces. Also, we introduce some examples the support the validity of our results. Mathematics Subject Classification : 54H25; 47H10; 54E50.

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Key concepts: Expansive, Coincidence point, Metric space, Mathematics, Coincidence, Differential geometry, Cone (formal languages), Convex metric space