EXTENSION OF GENERALIZED MULTIVALUED VARIATIONAL-INEQUALITIES

被引：8

作者：

JOU, CR

YAO, JC

机构：

[1] Department of Applied Mathematics National Sun Yat-Sen University, Kaohsiung

来源：

APPLIED MATHEMATICS LETTERS | 1993年 / 6卷 / 03期

关键词：

D O I：

10.1016/0893-9659(93)90026-J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we derive the existence result for a new class of generalized multi-valued variational inequality (1.1). Theorem 3.3 of this paper seems to be a natural extension of the celebrated result of Browder, Hartman and Stampacchia [1,2] variational inequalities for multi-valued operator in infinite-dimensional space.

引用

收藏

页码：21 / 25

页数：5

相关论文

共 14 条

[1]

Baiocchi C., 1984, VARIATIONAL QUASIVAR

[2] NONLINEAR MONOTONE OPERATORS AND CONVEX SETS IN BANACH SPACES [J].

BROWDER, FE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 71 (05) :780-&

[3] A GENERALIZATION OF TYCHONOFF FIXED POINT THEOREM [J].

FAN, K .

MATHEMATISCHE ANNALEN, 1961, 142 (03) :305-310

[4] GENERALIZED VARIATIONAL-INEQUALITIES FOR MULTIVALUED OPERATORS WITH CONTRACTILE VALUES [J].

GUO, JS ;

KUNG, YM .

APPLIED MATHEMATICS LETTERS, 1992, 5 (04) :59-62

[5] FINITE-DIMENSIONAL VARIATIONAL INEQUALITY AND NONLINEAR COMPLEMENTARITY-PROBLEMS - A SURVEY OF THEORY, ALGORITHMS AND APPLICATIONS [J].

HARKER, PT ;

PANG, JS .

MATHEMATICAL PROGRAMMING, 1990, 48 (02) :161-220

[6] ON SOME NON-LINEAR ELLIPTIC DIFFERENTIAL-FUNCTIONAL EQUATIONS [J].

HARTMAN, P ;

STAMPACCHIA, G .

ACTA MATHEMATICA UPPSALA, 1966, 115 (3-4) :271-+

[7]

KINDERLEHRER D, 1980, INTRO VARIATIONAL IN

[8]

KNESER H, 1952, CR HEBD ACAD SCI, V234, P2418

[9] BROWDER-HARTMAN-STAMPACCHIA VARIATIONAL-INEQUALITIES FOR MULTI-VALUED MONOTONE-OPERATORS [J].

SHIH, MH ;

TAN, KK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 134 (02) :431-440

[10]

STAMPACCHIA G, 1969, THEORY APPLICATIONS