Abstract
The ICS mapping was introduced by K.P.Chi (On a xed point theorem for certain class of maps satisfying a contractive condition depended on an another function, Lobachevskii J. math., 30(4), 2009, 289 - 291.) In this paper, we obtain a unique common xed point theorem in partial metric spaces by using ICS mapping and also introduced supported example to our main theorem.
Highlights
Introduction and PreliminariesThe notion of partial metric space was introduced by Matthews [10] as a part of the study of denotational semantics of data flow networks
It is widely recognized that partial metric spaces play an important role in constructing models in the theory of computation and domain theory in computer science
We obtain a unique common fixed point theorem for two mappings using ICS mapping in Partial metric spaces
Summary
Introduction and PreliminariesThe notion of partial metric space was introduced by Matthews [10] as a part of the study of denotational semantics of data flow networks. Matthews [10, 11], Oltra and Valero [23] and Romaguera [21] and Altun et al [2] proved some fixed point theorems in partial metric spaces for a single map (see [1, 6, 7, 8, 9, 3, 4, 22, 17]). The pair (X, p) is called a partial metric space (PMS). We state some basic topological notions (such as convergence, completeness, continuity) on partial metric spaces
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