A Fixed Point Theorem for Generalized $(\psi-\varphi)$ Weak Contraction Mappings Involving Rational Type Expressions in Partial Metric Spaces

Abstract

The aim of this paper is to establish a fixed point theorem in partial metric spaces using generalized $(\psi-\varphi)$ weak contraction mappings with rational expressions. Our result generalizes the result of Karapinar E. et al. [13]. In the last section we gave an example in support of our theorem.