STRONG CONVERGENCE OF INERTIAL HYBRID SUBGRADIENT METHODS FOR SOLVING EQUILIBRIUM PROBLEMS IN HILBERT SPACES

被引：0

作者：

Anh, Pham Ngoc ^{[1
]}

Kim, Jong Kyu ^{[2
]}

Hien, Nguyen Duc ^{[3
]}

Van Hong, Nguyen ^{[4
]}

机构：

[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam

[2] Kyungnam Univ, Dept Math Educ, Chang Won 51767, Gyeongnam, South Korea

[3] Duy Tan Univ, Dept Cooperat & Start Up, Da Nang, Vietnam

[4] Hai Phong Univ, Fac Math Educ, Hai Phong, Vietnam

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Equilibrium problems; fixed point; Lipschitz continuous; strongly mono-tone; inertial technique; demicontractive mapping; STEEPEST-DESCENT METHODS; FORWARD-BACKWARD ALGORITHM; VARIATIONAL-INEQUALITIES; MONOTONE-OPERATORS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce new iteration algorithms for solving equilibrium problems where the constrained sets are given as the intersection of the fixed point sets of demicontractive mappings in a real Hilbert space. The proposed algorithms are based on the subgradient method for variational inequalities and the inertial techniques for finding fixed points of nonexpansive mappings. Strong convergence of the iterative process is proved. Numerical experiments are provided to show computational efficiency of the proposed algorithms and comparison with some other known algorithms.

引用

页码：499 / 514

页数：16

共 50 条

[21] Strong convergence by a hybrid algorithm for solving generalized mixed equilibrium problems and fixed point problems of a Lipschitz pseudo-contraction in Hilbert spaces
Ungchittrakool, Kasamsuk
Jarernsuk, Apisit
FIXED POINT THEORY AND APPLICATIONS, 2012,
[22] On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces
Moudafi, Abdellatif
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 508 - 513
[23] Strong convergence by a hybrid algorithm for solving generalized mixed equilibrium problems and fixed point problems of a Lipschitz pseudo-contraction in Hilbert spaces
Kasamsuk Ungchittrakool
Apisit Jarernsuk
Fixed Point Theory and Applications, 2012
[24] STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS WITH NONLINEAR OPERATORS IN HILBERT SPACES
Dhompongsa, S.
Takahashi, W.
Yingtaweesittikul, H.
PACIFIC JOURNAL OF OPTIMIZATION, 2012, 8 (01): : 143 - 155
[25] An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces
Le, Thi Thanh Hai
Thong, Duong Viet
Vuong, Phan Tu
COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (06):
[26] Solving equilibrium and fixed-point problems in Hilbert spaces: A class of strongly convergent Mann-type dual-inertial subgradient extragradient methods
Rehman, Habib ur
Ghosh, Debdas
Yao, Jen-Chih
Zhao, Xiaopeng
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 464
[27] An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces
Rehman, Habib ur
Kumam, Poom
Shutaywi, Meshal
Pakkaranang, Nuttapol
Wairojjana, Nopparat
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (06) : 1081 - 1104
[28] The inertial iterative extragradient methods for solving pseudomonotone equilibrium programming in Hilbert spaces
Habib ur Rehman
Poom Kumam
Ioannis K. Argyros
Wiyada Kumam
Meshal Shutaywi
Journal of Inequalities and Applications, 2022
[29] Strong convergence theorems by hybrid methods for nonexpansive mappings with equilibrium problems in Banach spaces
Takahashi, Wataru
Yao, Jen-Chih
ADVANCES IN MATHEMATICAL ECONOMICS, VOL 14, 2011, 14 : 197 - +
[30] The inertial iterative extragradient methods for solving pseudomonotone equilibrium programming in Hilbert spaces
Rehman, Habib Ur
Kumam, Poom
Argyros, Ioannis K.
Kumam, Wiyada
Shutaywi, Meshal
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)

← 1 2 3 4 5 →