New projection methods for equilibrium problems over fixed point sets

被引：9

作者：

Anh, Pham Ngoc ^{[1
]}

Van Hong, Nguyen ^{[2
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[2] Haiphong Univ, Fac Math Educ, Haiphong, Vietnam

来源：

OPTIMIZATION LETTERS | 2021年 / 15卷 / 02期

关键词：

Equilibrium problem; Projection method; Fixed point; Subgradient; Demicontractive mapping; GENERALIZED MONOTONE BIFUNCTIONS; STRONG-CONVERGENCE THEOREM; ITERATIVE ALGORITHMS;

D O I：

10.1007/s11590-020-01625-9

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce some new approximation projection algorithms for solving monotone equilibrium problems over the intersection of fixed point sets of demicontractive mappings. By combining subgradient projection methods and hybrid steepest descent methods, strong convergence of the algorithms to a solution is shown in a real Hilbert space. Some numerical illustrations and comparisons are also reported to show the efficiency and advantage of the proposed algorithms.

引用

页码：627 / 648

页数：22

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