FIXED POINT THEOREMS IN CONVEX PARTIAL METRIC SPACES

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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M. Moosaei, Fixed Point Theorems in Convex Metric Spaces, Fixed Point Theory and Ap- plications 2012, 2012:164 doi:10.1186/1687-1812-2012-164 Published: 25 September 2012.
Current address: Department of Mathematics and Informatic, The Larbi Ben M’hidi Univer- sity, Oum El Bouaghi. 04000, Algeria.
E-mail address: taki maths@live.fr; oussaeiftaki@live.fr
Current address: Department of Mathematics , The Larbi Ben M’hidi University, Oum El Bouaghi. 04000, Algeria.
E-mail address: alioumath@yahoo.fr

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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