FIXED POINT THEOREMS IN CONVEX PARTIAL METRIC SPACES

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