Generalized implicit variational-like inclusion problems involving G-η-monotone mappings

被引：25

作者：

Zhang, Qing-Bang ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 02期

关键词：

G-eta-monotone mappings; generalized resolvent operator technique; generalized implicit variational-like inclusion;

D O I：

10.1016/j.aml.2006.04.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new class of G-eta-monotone mappings is introduced and studied in Hilbert space. By using the properties of G-eta-monotone mappings, the solvability of a class of nonlinear variational inclusions using the generalized resolvent operators technique is given. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：216 / 221

页数：6

共 17 条

[1] Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings [J].

Agarwal, RP ;

Huang, NJ ;

Cho, YJ .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2002, 7 (06) :807-828

[2] Sensitivity analysis for strongly nonlinear quasi-variational inclusions [J].

Agarwal, RP ;

Cho, YJ ;

Huang, NJ .

APPLIED MATHEMATICS LETTERS, 2000, 13 (06) :19-24

[3] Iterative schemes for solving mixed variational-like inequalities [J].

Ansari, QH ;

Yao, JC .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 108 (03) :527-541

[4] Perturbed proximal point algorithms for general quasi-variational-like inclusions [J].

Ding, XP ;

Luo, CL .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 113 (1-2) :153-165

[5]

Ding XP, 2001, APPL MATH COMPUT, V122, P267, DOI 10.1016/S0096-3003(00)00027-8

[6] Predictor-corrector iterative algorithms for solving generalized mixed variational-like inequalities [J].

Ding, XP .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (03) :855-865

[7] Algorithms of solutions for completely generalized mixed implicit quasi-variational inclusions [J].

Ding, XP .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 148 (01) :47-66

[8] A new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings [J].

Ding, XP ;

Park, JY .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 138 (02) :243-257

[9] 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

[10]

Huang NJ, 2003, PUBL MATH-DEBRECEN, V62, P83

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