FIXED POINT THEOREMS IN CONVEX PARTIAL METRIC SPACES

Year 2014, Volume: 2 Issue: 2, 96 - 101, 01.12.2014

Oussaeif Takıeddıne Abdelkrimaliouche

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

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• Current address: Department of Mathematics and Informatic, The Larbi Ben M’hidi Univer- sity, Oum El Bouaghi. 04000, Algeria.
• E-mail address: taki [e-mail]; [e-mail]
• Current address: Department of Mathematics , The Larbi Ben M’hidi University, Oum El Bouaghi. 04000, Algeria.
• E-mail address: [e-mail]