Title of article :
Study of the generalized P-contractions on Banach spaces and uniqueness for stability fixed points
Author/Authors :
Alobaidi, Mizal H. Department of Mathematics - College of Computer Science and Mathematics - Tikrit University, Iraq , Ahmed, Ibrahim S. Department of Physics - College of Education-Tuzkhurmatu - Tikrit University, Iraq , Asaad, Samah H. Department of Physics - College of Education-Tuzkhurmatu - Tikrit University, Iraq
Abstract :
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.
Keywords :
fixed point , metric space , Banach space , contraction mapping , F - contractions
Journal title :
International Journal of Nonlinear Analysis and Applications
