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

[1] Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces
Jolaoso, Lateef Olakunle
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (03):
[2] Modified projected subgradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces
Lateef Olakunle Jolaoso
Computational and Applied Mathematics, 2021, 40
[3] Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces
Gebrie A.G.
Wangkeeree R.
Fixed Point Theory and Applications, 2018 (1)
[4] A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces
M. Raeisi
Gholamreza Zamani Eskandani
Calcolo, 2019, 56
[5] A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces
Raeisi, M.
Eskandani, Gholamreza Zamani
CALCOLO, 2019, 56 (04)
[6] The subgradient extragradient method for pseudomonotone equilibrium problems
Dadashi, Vahid
Iyiola, Olaniyi S.
Shehu, Yekini
OPTIMIZATION, 2020, 69 (04) : 901 - 923
[7] A subgradient method for equilibrium problems involving quasiconvex bifunctions
Le Hai Yen
Le Dung Muu
OPERATIONS RESEARCH LETTERS, 2020, 48 (05) : 579 - 583
[8] The subgradient extragradient method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces
Jolaoso, L. O.
OPTIMIZATION, 2022, 71 (14) : 4051 - 4081
[9] POPOV SUBGRADIENT EXTRAGRADIENT ALGORITHM FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS IN BANACH SPACES
Ogbuisi, Ferdinard U.
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2019, 2019
[10] Generalized equilibrium problems for quasimonotone and pseudomonotone bifunctions
Fakhar, M
Zafarani, J
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 123 (02) : 349 - 364

← 1 2 3 4 5 →