A fixed point theorem for $(\mu,\psi)$-generalized $f$-weakly contractive mappings in partially ordered 2-metric spaces


Nguyen Trung Hieu, Huynh Ngoc Cam




The purpose of this paper is to introduce the notion of a $(\mu,\psi)$-generalized f-weakly contractive mapping in partially ordered 2-metric spaces and state a fixed point theorem for this mapping in complete, partially ordered 2-metric spaces. The main results of this paper are generalizations of the main results of [4, 10]. Also, some examples are given to illustrate the obtained results.