Title of article :
Convergence Theorems of Implicit Iterates with Errors for Generalized Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces
Author/Authors :
Saluja, G. S Department of Mathematics and Information Technology - Govt. Nagarjuna P.G. College of Science, India
Abstract :
In this paper, we prove that an implicit iterative process with errors converges strongly to a com-
mon xed point for a nite family of generalized asymptotically quasi-nonexpansive mappings on
unbounded sets in a uniformly convex Banach space. Our results unify, improve and generalize the
corresponding results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] and many
others.
Keywords :
Generalized Asymptotically Quasi-Nonexpansive Mapping , Implicit Iteration Process with Errors , Common Fixed Point , Strong Convergence , Uniformly Convex Banach Space
Journal title :
Astroparticle Physics