The Iteration Approximation Theorems Of Fixed Points For Asymptotically Nonexpansive Mappings

Fixed point theory and its applications is an important part of nonlinear functional analysis which is developing rapidly.In this paper,we will discuss strong convergence theorems for asymptotically quasi-nonexpansive nonself-mappings and weak convergence of iteration process with mean errors for two finite families of asymptotically nonexpansive mappings.This paper consists of four parts.The main contents of this paper are summarized as follows:The first chapter,we will simply talk about the background about the topic and the main content of the topic.The second chapter,we will introduce some definitions,lemmas and related results used in the preparation in the artical.The third chapter,convergence theorems for asymptotically quasi-nonexpansive nonself-mapping.The fourth chapter,weak convergence of iteration process with mean errors for two finite families of asymptotically nonexpansive mappings.