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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.

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