Hybrid Subgradient Algorithm for Equilibrium and Fixed Point Problems by Approximation of Nonexpansive Mapping

被引：0

作者：

Aleomraninejad, Seyed Mohammad Ali ^{[1
]}

Sitthithakerngkiet, Kanokwan ^{[2
]}

Kumam, Poom ^{[3
,4
]}

机构：

[1] Qom Univ Technol, Dept Math, Qom, Iran

[2] King Mongkuts Univ Technol North Bangkok KMUTNB, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand

[3] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, Sci Lab Bldg,Pracha Uthit Rd, Bangkok 10140, Thailand

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

FILOMAT | 2020年 / 34卷 / 05期

关键词：

Equilibrium problem; Fixed point; Nonexpansive mapping; Pseudomonotonicity; STRONG-CONVERGENCE; WEAK;

D O I：

10.2298/FIL2005721A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a new algorithm considered on a real Hilbert space for finding a common point in the solution set of a class of pseudomonotone equilibrium problem and the set of fixed points of nonexpansive mappings. We produce this algorithm by mappings T-k that are approximations of non-expansive mapping T. The strong convergence theorem of the proposed algorithms is investigated. Our results generalize some recent results in the literature.

引用

页码：1721 / 1729

页数：9

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