A modified extragradient method for inverse-monotone operators in Banach spaces

被引：5

作者：

Li, Liwei ^{[1
]}

Song, W. ^{[1
]}

机构：

[1] Harbin Normal Univ, Dept Math, Harbin 150080, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2009年 / 44卷 / 04期

关键词：

Extragradient method; Uniformly convex and uniformly smooth Banach space; Weakly sequentially continuous; Inverse-monotone operators; Weak convergence; STRONG-CONVERGENCE THEOREMS; PROXIMAL POINT; EXISTENCE; ALGORITHM;

D O I：

10.1007/s10898-008-9361-3

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：

We introduce an iterative procedure for finding a point in the zero set (a solution to 0 a A(v) and v a C) of an inverse-monotone or inverse strongly-monotone operator A on a nonempty closed convex subset C in a uniformly smooth and uniformly convex Banach space. We establish weak convergence results under suitable assumptions.

引用

页码：609 / 629

页数：21

共 50 条

[1] A modified extragradient method for inverse-monotone operators in Banach spaces
Liwei Li
W. Song
Journal of Global Optimization, 2009, 44 : 609 - 629
[2] A hybrid of the extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces
Li, Liwei
Song, W.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2007, 1 (03) : 398 - 413
[3] An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
Plubtieng, Somyot
Sriprad, Wanna
FIXED POINT THEORY AND APPLICATIONS, 2009,
[4] Modified inertial subgradient extragradient method in reflexive Banach spaces
Ali, Bashir
Ugwunnadi, G. C.
Lawan, M. S.
Khan, A. R.
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (01):
[5] PROXIMAL POINT METHODS FOR MONOTONE OPERATORS IN BANACH SPACES
Aoyama, Koji
Kohsaka, Fumiaki
Takahashi, Wataru
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (01): : 259 - 281
[6] Monotone type operators in nonreflexive Banach spaces
Chen, Yuqing
Cho, Yeol Je
FIXED POINT THEORY AND APPLICATIONS, 2014,
[7] A modified extragradient method for variational inclusion and fixed point problems in Banach spaces
Sunthrayuth, Pongsakorn
Cholamjiak, Prasit
APPLICABLE ANALYSIS, 2021, 100 (10) : 2049 - 2068
[8] A self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spaces
Jolaoso, Lateef Olakunle
DEMONSTRATIO MATHEMATICA, 2021, 54 (01) : 527 - 547
[9] IMPLICIT ITERATIVE ALGORITHMS FOR α-INVERSE STRONGLY ACCRETIVE OPERATORS IN BANACH SPACES
Rezapour, Shahram
Zakeri, Seyyed Hasan
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (08) : 1547 - 1560
[10] A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces
Abass, H. A.
Aphane, M.
Oyewole, O. K.
FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01):

← 1 2 3 4 5 →