Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces

被引：0

作者：

Jeong, Jae Ug ^{[1
]}

机构：

[1] Dong Eui Univ, Dept Math, Busan 614714, South Korea

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2015年 / 55卷 / 04期

关键词：

Nonexpansive mapping; strictly pseudo-contractive mapping; variational inequality; uniformly convex;

D O I：

10.5666/KMJ.2015.55.4.933

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an eta-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.

引用

页码：933 / 951

页数：19

共 50 条

[41] ON CONVERGENCE OF AN IMPLICIT ALGORITHM FOR MULTIVALUED MAPPINGS IN BANACH SPACES
Yildirim, Isa
MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) : 771 - 780
[42] A Generalized System of Nonlinear Variational Inequalities in Banach Spaces
Junlouchai, Prapairat
Kaewcharoen, Anchalee
Plubtieng, Somyot
ABSTRACT AND APPLIED ANALYSIS, 2014,
[43] Nonlinear variational inequalities on convex subsets of Banach spaces
Verma, RU
APPLIED MATHEMATICS LETTERS, 1997, 10 (04) : 25 - 27
[44] INFINITELY NONLINEAR SPLIT VARIATIONAL INEQUALITIES IN BANACH SPACES
Li, Jinlu
Xie, Linsen
Zhao, Xiaopeng
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (08) : 1701 - 1713
[45] NEW SYSTEMS OF GENERALIZED MIXED VARIATIONAL INEQUALITIES WITH NONLINEAR MAPPINGS IN HILBERT SPACES
Kim, Jong Kyu
Kim, Kyung Soo
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (03) : 601 - 612
[46] CONVERGENCE OF THE OPERATOR EXTRAPOLATION METHOD FOR VARIATIONAL INEQUALITIES IN BANACH SPACES
Semenov, V. V.
Denisov, S. V.
Sandrakov, G. V.
Kharkov, O. S.
CYBERNETICS AND SYSTEMS ANALYSIS, 2022, 58 (05) : 740 - 753
[47] Convergence of the Operator Extrapolation Method for Variational Inequalities in Banach Spaces*
V. V. Semenov
S. V. Denisov
G. V. Sandrakov
O. S. Kharkov
Cybernetics and Systems Analysis, 2022, 58 : 740 - 753
[48] Convergence analysis of generalized iterative methods for some variational inequalities involving pseudomonotone operators in Banach spaces
Saddeek, A. M.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4856 - 4865
[49] Variational-Like Inequalities with Generalized Monotone Mappings in Banach Spaces
Y.P. Fang
N.J. Huang
Journal of Optimization Theory and Applications, 2003, 118 : 327 - 338
[50] Variational-like inequalities with relaxed η-α pseudomonotone mappings in Banach spaces
Bai, Min-Ru
Zhou, Shu-Zi
Ni, Gu-Yan
APPLIED MATHEMATICS LETTERS, 2006, 19 (06) : 547 - 554

← 1 2 3 4 5 →