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.
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