Multi-step hybrid steepest-descent methods for split feasibility problems with hierarchical variational inequality problem constraints

被引：2
作者：
Ceng, L. C. [1 ]
Liou, Y. C. [2 ]
Sahu, D. R. [3 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Kaohsiung Med Univ, Dept Healthcare Adm & Med Informat, Kaohsiung 80708, Taiwan
[3] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期
关键词：
Hybrid steepest-descent method; split feasibility problem; generalized mixed equilibrium problem; variational inclusion; maximal monotone mapping; nonexpansive mapping; FIXED-POINT PROBLEMS; MINIMUM-NORM SOLUTIONS; MIXED EQUILIBRIUM PROBLEMS; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; ITERATIVE ALGORITHMS; MONOTONE OPERATORS; STRONG-CONVERGENCE; INCLUSIONS; SPACES;
D O I：
10.22436/jnsa.009.06.58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and analyze a multi-step hybrid steepest-descent algorithm by combining Korpelevich's extragradient method, viscosity approximation method, hybrid steepest-descent method, Mann's iteration method and gradient-projection method (GPM) with regularization in the setting of infinite dimensional Hilbert spaces. Strong convergence was established. (C) 2016 All rights reserved.
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收藏
页码：4148 / 4166
页数：19
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