A PROJECTED SUBGRADIENT-PROXIMAL METHOD FOR SPLIT EQUALITY EQUILIBRIUM PROBLEMS OF PSEUDOMONOTONE BIFUNCTIONS IN BANACH

被引：7

作者：

Ogbuisi, Ferdinard U. ^{[1
,2
]}

Shehu, Yekini ^{[2
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[2] Univ Nigeria, Dept Math, Nsukka, Nigeria

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2019年 / 3卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Projected subgradient-proximal method; Pseudomonotone bifunctions; Split equality equilibrium problem; 2-uniformly convex Banach space; Uniformly smooth Banach space; FIXED-POINT PROBLEMS; RELATIVELY NONEXPANSIVE-MAPPINGS; GENERALIZED MIXED EQUILIBRIUM; STRONG-CONVERGENCE THEOREM; FEASIBILITY PROBLEMS; APPROXIMATION; INEQUALITIES; SPACES;

D O I：

10.23952/jnva.3.2019.2.09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a simultaneous projected subgradient-proximal type iterative algorithm to solve a split equality equilibrium problem with pseudomonotone bifunctions in 2-uniformly convex and uniformly smooth Banach spaces. We obtain convergence results under some mild conditions on the bifunctions. Furthermore, we also give applications to the domain decomposition for PDEs.

引用

页码：205 / 224

页数：20

共 50 条

[41] Inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and fixed point problems in Hilbert spaces
Xie, Zhongbing
Cai, Gang
Tan, Bing
OPTIMIZATION, 2024, 73 (05) : 1329 - 1354
[42] Proximal point method with Bregman distance for quasiconvex pseudomonotone equilibrium problems
Ansari, Qamrul Hasan
Babu, Feeroz
Raju, Muzaffar Sarkar
OPTIMIZATION, 2023,
[43] Self-adaptive subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces
Xie, Zhongbing
Cai, Gang
Li, Xiaoxiao
Dong, Qiao-Li
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2022, 16 (01)
[44] Self-adaptive subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces
Zhongbing Xie
Gang Cai
Xiaoxiao Li
Qiao-Li Dong
Banach Journal of Mathematical Analysis, 2022, 16
[45] A Parallel Hybrid Bregman Subgradient Extragradient Method for a System of Pseudomonotone Equilibrium and Fixed Point Problems
Bokodisa, Annel Thembinkosi
Jolaoso, Lateef Olakunle
Aphane, Maggie
SYMMETRY-BASEL, 2021, 13 (02): : 1 - 24
[46] A Projected Subgradient Algorithm for Bilevel Equilibrium Problems and Applications
Le Quang Thuy
Trinh Ngoc Hai
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 175 (02) : 411 - 431
[47] WEAK AND STRONG CONVERGENCE OF SUBGRADIENT EXTRAGRADIENT METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
Dang Van Hieu
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (04): : 879 - 893
[48] A Projected Subgradient Algorithm for Bilevel Equilibrium Problems and Applications
Le Quang Thuy
Trinh Ngoc Hai
Journal of Optimization Theory and Applications, 2017, 175 : 411 - 431
[49] A SUBGRADIENT EXTRAGRADIENT ALGORITHM FOR SOLVING SPLIT EQUILIBRIUM AND FIXED POINT PROBLEMS IN REFLEXIVE BANACH SPACES
Oyewole, Olawale Kazeem
Mewomo, Oluwatosin Temitope
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, Mathematical Research Press (2020):
[50] Modified mildly inertial subgradient extragradient method for solving pseudomonotone equilibrium problems and nonexpansive fixed point problems
Akutsah, Francis
Mebawondu, Akindele Adebayo
Ofem, Austine Efut
George, Reny
Nabwey, Hossam A.
Narain, Ojen Kumar
AIMS MATHEMATICS, 2024, 9 (07): : 17276 - 17290

← 1 2 3 4 5 →