FIXED POINT THEOREMS IN CONVEX PARTIAL METRIC SPACES

Authors : Oussaeif TAKIEDDINE, Abdelkrimaliouche

Pages : 96-101

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Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :Partial metric spaces were introduced by S. G. Matthews [1] as apart of the study of denotational semantics of dataflow networks, the authorintroduced and studied the concept of partial metric space, and obtained aBanach type fixed point theorem on complete partial metric spaces. In thispaper, we study some fixed point theorems for self-mappings satisfying certaincontraction principles on a convex complete partial metric space, these theoremgeneralize previously obtained results in convex metric space
Keywords : Partial metric spaces, convex metric spaces, fixed point theorems