Some Results on Fixed Points Related to φ- ψ Functions in JS – Generalized Metric Spaces

Abstract

In this paper are shown some new results on fixed point related to a -ψ contractive map in JSgeneralized metric spaces X. It proves that there exists a unique fixed point for a nonlinear map : → , using two altering distance functions. Furthermore, it gives some results which related to a couple of functions under some conditions in JSgeneralized metric spaces. It provides a theorem where is shown that two maps , : → under a nonlinear contraction using ultra -altering distance functions ψ and φ, which are lower semicontinuous and continuous, respectively, have a coincidence point that is unique in X. In addition, there is proved if the maps and are weakly compatible then they have a fixed point which is unique in JSgeneralized metric space. As applications, every theorem is illustrated by an example. The obtained theorems and corollaries extend some important results which are given in the references.