Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process

Authors : Seyit TEMİR, Öznur KORKUT

Pages : 35-39

Doi:10.33187/jmsm.993823

View : 21 | Download : 17

Publication Date : 2022-04-30

Article Type : Research Paper

Abstract :In this paper we introduce a new iteration process for approximation of fixed points. We numerically compare convergence behavior of our iteration process with other iteration process like M-iteration process. We also prove weak and strong convergence theorems for generalized $\alpha-$nonexpansive mappings by using new iteration process. Furthermore we give an example for generalized $\alpha-$nonexpansive mapping but does not satisfy $insert ignore into journalissuearticles values(C);$ condition .
Keywords : Uniformly convex Banach spaces, iteration processes, generalized alpha nonexpansive mappings, fixed point, convergence