Title of article :
A New and Faster Iterative Scheme Including Generalized α-nonexpansive Mappings in Banach Spaces
Author/Authors :
Rahimi ، Asghar Department of Mathematics - University of Maragheh , Rezaei ، Ali Department of Mathematics - University of Maragheh , Daraby ، Bayaz Department of Mathematics - University of Maragheh , Ghasemi ، Mostafa Department of Mathematics - University of Maragheh
Abstract :
In this paper, we proposed a new iterative process to approximate fixed point of generalized α-nonexpansive mappings and show that the coefficient used in the proposed iterative process play a fundamental role in the rate of convergence. We compare the speed of convergence of new iterative process with other wellknown iterative process by using numerical examples. Finally, by using new iterative process, we obtained some weak and strong convergence theorems for generalized α-nonexpansive mappings in a Banach space.
Keywords :
Uniformly convex Banach space , Weak convergence , Strong convergence , Generalized α , nonexpansive mapping , Iterative process , Quasi , nonexpansive mapping
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
