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Common fixed points in cone metric spaces for -pairs

Abstract

In this paper we introduce some contractive conditions of Meir–Keeler type for two mappings, called f-MK-pair mappings and f-CJM-pair (from Ciric, Jachymski, and Matkowski) mappings, in the framework of regular cone metric spaces and we prove theorems which guarantee the existence and uniqueness of common fixed points. We give also a fixed point result for a multivalued mapping that satisfies