Iterative Approximation For Spilt Common Fixed Point Problem Involving An Asymptotically Nonexpansive Semigroup And A Total Asymptotically Strict Pseudocontraction

In this paper, we introduce and analysis in the Hilbert space for a uniformly asymptot-ically regular Nonexpansive semigroup and a full progressive Strictly Pseudocontractive Mappings split feasibility problem of common solution method, the strong convergence of the algorithm is proved under the condition of the iterative algorithm, some special cases is also given to the discussion. This paper on the existing results revised and extended. This paper is divided into three parts. In the first chapter mainly tells the story about the search for uniformly asymptotically regular Nonexpansive semigroup and the gradual Strictly Pseudocontractive Mappings split feasibility problem of common solutions of relat-ed background, and briefly introduces the previous research results and the main research work. The second chapter presents new iterative format, and studied the linear combination iterative approximation algorithm for the fixed point problem. The third chapter studied iterative algorithm for portfolio in Hilbert space, and we prove the strong convergence result for the algorithm.