On systems of generalized nonlinear variational inequalities in Banach spaces

被引：15

作者：

Cho, Yeol Je ^{[2
,3
]}

Kang, Shin Min ^{[1
,2
]}

Qin, Xiaolong ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 01期

关键词：

Nonlinear variational inequality; Algorithm; Projection method; Banach space;

D O I：

10.1016/j.amc.2008.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new algorithm for a system for generalized nonlinear variational inequalities in Banach spaces by using convergence of the generalized projection methods. Our results extend and improve the results of Fan [J. H. Fan, A Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces, J. Math. Anal. Appl. 337 (2007) 1041-1047], Li [J. Li, On the existence of solutions of variational inequalities in Banach spaces, J. Math. Anal. Appl. 295 (2004) 115-126], Verma [R. U. Verma, Projection methods, algorithms and a new system of nonlinear variational inequalities, Comput. Math. Appl. 41 (2001) 1025-1031] and many others. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：214 / 220

页数：7

共 12 条

[1]

Alber Y., 1994, Panamer. Math. J., V4, P39

[2]

Alber Y., 2001, Analysis (Munich), V21, P17

[3]

Alber Y. I., 1995, COMM APPL NONLINEAR, V2, P47

[4]

Alber Y.I., 1993, Funct. Differ. Equ., P1

[5]

Alber YI, 1996, THEORY APPL NONLINEA, V178, P15

[6] Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces [J].

Chang, S. S. ;

Lee, H. W. Joseph ;

Chan, C. K. .

APPLIED MATHEMATICS LETTERS, 2007, 20 (03) :329-334

[7] On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces [J].

Chang, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (01) :94-111

[8]

Chidume C.E., 2005, PanAmer. Math. J., V15, P29

[9] A Mann type iterative scheme for variational inequalities in noncompact subsets of Banach spaces [J].

Fan Jianghua .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) :1041-1047

[10] The generalized projection operator on reflexive Banach spaces and its applications [J].

Li, JL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 306 (01) :55-71

← 1 2 →