VISCOSITY EXTRAGRADIENT METHOD WITH ARMIJO LINESEARCH RULE FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

被引：2
|
作者：
Li, Gaobo [1 ]
Lu, Yanxia [2 ]
Cho, Yeol Je [3 ,4 ]
机构：
[1] Shan Dong Womens Univ, Sch Educ, Jinan 056210, Peoples R China
[2] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[4] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2019年 / 50卷 / 04期
关键词：
Nonexpansive mappings; equilibrium problems; Hilbert spaces; ALGORITHMS;
D O I：
10.1007/s13226-019-0363-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a viscosity extragradient method with Armijo linesearch rule to find a common element of solution set of a pseudomonotone equilibrium problem and fixed point set of a nonexpansive nonself-mapping in Hilbert space. The strong convergence of the algorithm is proved. As the application, a common fixed point theorem for two nonexpansive nonself-mappings is proved. Finally, some numerical examples are given to illustrate the effectiveness of the algorithm. Our result improves the ones of others in the literature.
引用
收藏
页码：903 / 921
页数：19
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