New projection methods for equilibrium problems over fixed point sets

被引：5

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

下载

页码：627 / 648

页数：22

共 50 条

[1] New projection methods for equilibrium problems over fixed point sets
Pham Ngoc Anh
Nguyen Van Hong
Optimization Letters, 2021, 15 : 627 - 648
[2] PROJECTION METHODS FOR MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
Liou, Yeong-Cheng
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (01) : 111 - 124
[3] Hybrid Bregman projection methods for fixed point and equilibrium problems
Wang, Zi-Ming
Wei, Airong
Kumam, Poom
CARPATHIAN JOURNAL OF MATHEMATICS, 2018, 34 (03) : 441 - 447
[4] Projection methods with linesearch technique for pseudomonotone equilibrium problems and fixed point problems
Zhu, Li-Jun
Yao, Yonghong
Postolache, Mihai
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (01): : 3 - 14
[5] PROJECTION METHODS WITH LINESEARCH TECHNIQUE FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
Zhu, Li-Jun
Yao, Yonghong
Postolache, Mihai
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (01): : 3 - 14
[6] On the hybrid projection method for fixed point and equilibrium problems
Xiaolong Qin
Sun Young Cho
Shin Min Kang
Feng Gu
TOP, 2013, 21 : 341 - 354
[7] On the hybrid projection method for fixed point and equilibrium problems
Qin, Xiaolong
Cho, Sun Young
Kang, Shin Min
Gu, Feng
TOP, 2013, 21 (02) : 341 - 354
[8] HYBRID PROJECTION METHODS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF INFINITE FAMILY OF MULTIVALUED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Zhao, Fuhai
Yang, Li
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2016,
[9] FIXED POINT SOLUTION METHODS FOR SOLVING EQUILIBRIUM PROBLEMS
Pham Ngoc Anh
Nguyen Duc Hien
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (02) : 479 - 499
[10] Shrinking projection methods for solving split equilibrium problems and fixed point problems for asymptotically nonexpansive mappings in Hilbert spaces
Uamporn Witthayarat
Afrah A N Abdou
Yeol Je Cho
Fixed Point Theory and Applications, 2015

← 1 2 3 4 5 →