Strong Convergence for Generalized Multiple-Set Split Feasibility Problem

被引：12

作者：

Latif, A. ^{[1
]}

Vahidi, J. ^{[2
]}

Eslamian, M. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Sci & Technol, Dept Appl Math, Behshahr, Iran

来源：

FILOMAT | 2016年 / 30卷 / 02期

关键词：

Multiple-set split feasibility problem; Variational inequality; Strong convergence; FIXED-POINT PROBLEMS; VARIATIONAL-INEQUALITIES; ALGORITHMS; SYSTEM;

D O I：

10.2298/FIL1602459L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new algorithm based on viscosity approximation method for solving the generalized multiple-set split feasibility problem (GMSSFP) in an infinite dimensional Hilbert spaces. 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.

引用

页码：459 / 467

页数：9

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