A new system of set-valued variational inclusions with H-monotone operators

被引：0

作者：

Yan, WY ^{[1
]}

Fang, YP ^{[1
]}

Huang, NJ ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2005年 / 8卷 / 03期

关键词：

H-monotone operator; resolvent operator technique; system of set-valued variational inclusion; iterative algorithm;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce and study a new system of set-valued variational inclusions with H-monotone operators in Hilbert spaces. By using the resolvent operator method associated with H-monotone operator due to Fang and Huang, we construct a new iterative algorithm for solving this kind of system of set-valued variational inclusions. We also prove the existence of solutions for the system of set-valued variational inclusions and the convergence of iterative sequences generated by the algorithm.

引用

页码：537 / 546

页数：10

共 20 条

[1] Perturbed algorithms and sensitivity analysis for a general class of variational inclusions [J].

Adly, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (02) :609-630

[2] An iterative algorithm for generalized nonlinear variational inclusions [J].

Ahmad, R ;

Ansari, QH .

APPLIED MATHEMATICS LETTERS, 2000, 13 (05) :23-26

[3]

[Anonymous], ADV NONLINEAR VAR IN

[4]

Cho YJ, 2004, J KOREAN MATH SOC, V41, P489

[5] Existence results for systems of strong implicit vector variational inequalities [J].

Fang, YP ;

Huang, NJ .

ACTA MATHEMATICA HUNGARICA, 2004, 103 (04) :265-277

[6] H-monotone operator and resolvent operator technique for variational inclusions [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) :795-803

[7]

Fang YP, 2004, COMM APPL NONLINEAR, V11, P93

[8] Generalized nonlinear variational inclusions with noncompact valued mappings [J].

Huang, NJ .

APPLIED MATHEMATICS LETTERS, 1996, 9 (03) :25-29

[9] A new completely general class of variational inclusions with noncompact valued mappings [J].

Huang, NJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (10) :9-14

[10] Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions [J].

Huang, NJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (10) :1-7

← 1 2 →