Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem

作     者：Fenghui Wang Hong-Kun Xu 

作者机构：Department of Mathematics Luoyang Normal University Luoyang 471022China Department of Mathematics School of Science Hangzhou Dianzi UniversityHangzhou 310018 China 

出 版 物：《高等学校计算数学学报（英文版）》 (Numerical Mathematics Theory, Methods and Applications)

年 卷 期：2018年第11卷第4期

页      面：770-781页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Split feasibility fixed point,Fejér-monotonicity nonexpansive mapping projection iterative algorithm 

摘      要：Two iterative algorithms are proposed for the split fixed point *** first algorithm is shown to be weakly convergent and the second one to be strongly *** feature of these algorithms is that the stepsizes are chosen in such a way that no priori knowledge of the operator norms is required.A new idea is introduced in order to prove strong convergence of the second algorithm.