Study of the generalized P-contractions on Banach spaces and uniqueness for stability fixed points

This article aims to introduce some concepts such as P-contraction and  G-P-contraction which are defined on Banach spaces as stronger forms of the concepts of  P-contraction and \'{C}iric type generalized P-contraction defined on complete metric spaces, respectively. Furthermore, the relationship between these concepts have been discussed. Finally, the uniqueness of fixed point for the presented concepts has been investigated.

کلیدواژه ها:

Fixed point ، metric space ، Banach space ، contraction mapping ، F - contractions