Strong Convergence of a Split Common Fixed Point Problem

被引：12

作者：

Eslamian, Mohammad ^{[1
,2
]}

Eslamian, Peyman ^{[3
]}

机构：

[1] Univ Sci & Technol Mazandaran, Dept Math, Behshahr, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

[3] Babol Noshirvani Univ Technol, Dept Mech Engn, Babol Sar, Iran

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2016年 / 37卷 / 10期

关键词：

Quasi-nonexpansive mapping; split common fixed point problems; split variational inequality problem; strong convergence; ITERATIVE ALGORITHMS; FEASIBILITY; SETS; PROJECTION;

D O I：

10.1080/01630563.2016.1200076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we present a new general algorithm for solving the split common fixed point problem in an infinite dimensional Hilbert space, which is to find a point which belongs to the common fixed point of a family of quasi-nonexpansive mappings such that its image under a linear transformation belongs to the common fixed point of another family of quasi-nonexpansive mappings in the image space. We establish the strong convergence for the algorithm to find a unique solution of the variational inequality, which is the optimality condition for the minimization problem. The algorithm and its convergence results improve and develop previous results in this field.

引用

页码：1248 / 1266

页数：19

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