Abstract
We prove a unique fixed point theorem for a function depending from four self maps satisfying (φ-ψ)-contractive condition in partial metric spaces. Presented results extend and generalize some existing fixed point results in the literature
Highlights
The Notion of partial metric space have originally developed by S.G
We prove a unique fixed point theorem for a function depending from four self maps satisfying (φ − ψ)-contractive condition in partial metric spaces
The partial metric spaces play an important role in constructing models in the theory of computation see [1, 3, 6, 8]
Summary
The Notion of partial metric space have originally developed by S.G. Matthews ([3]) to provide mechanism generalizing metric space theories. Matthews ([3]) to provide mechanism generalizing metric space theories This relatively new field has been shown to have vast application potentials [6] in the study of computer domains and semantics [7]. Ferhan Sola [1] and K.P.R Rao and G.N.V. Kishore [5] proved fixed point theorems in partial metric spaces for a single map. We prove a unique fixed point theorem for four self mappings for a generalized operator depending from (ψ − φ) contractive condition in partial metric spaces. Let us recall some definitions and lemmas of partial metric spaces that we will use in the sequel
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