GENERALIZED NONLINEAR VARIATIONAL-INEQUALITIES WITH NONMONOTONE SETVALUED MAPPINGS

被引：18

作者：

DING, XP ^{[1
]}

TARAFDAR, E ^{[1
]}

机构：

[1] UNIV QUEENSLAND,DEPT MATH,ST LUCIA 4072,QLD 4072,AUSTRALIA

来源：

APPLIED MATHEMATICS LETTERS | 1994年 / 7卷 / 04期

基金：

中国国家自然科学基金;

关键词：

VARIATIONAL INEQUALITY PROBLEM; GENERALIZED VARIATIONAL INEQUALITY PROBLEM; GENERALIZED NONLINEAR VARIATIONAL INEQUALITY PROBLEM; O-DIAGONALLY CONCAVE FUNCTION AND O-DIAGONALLY CONCAVE RELATION;

D O I：

10.1016/0893-9659(94)90002-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a new class of generalized nonlinear variational inequality problem GNVIP(F, g, b, K) in locally convex Hausdorff topological vector spaces. Several existence theorems of solutions for GNVIP(F, g, b, K) with nonmonotone type set-valued mappings F are proved.

引用

页码：5 / 11

页数：7

共 18 条

[1]

AUBIN JP, 1984, APPLIED NONLINEAR AN

[2]

AUBIN JP, 1979, APPLIED FUNCTIONAL A

[3]

BAIOCCHI C, 1984, VARIATIONAL QUASIVAR

[4] FIXED POINT THEORY OF MULTI-VALUED MAPPINGS IN TOPOLOGICAL VECTOR SPACES [J].

BROWDER, FE .

MATHEMATISCHE ANNALEN, 1968, 177 (04) :283-&

[5] ON EQUILIBRIA OF NONCOMPACT GENERALIZED GAMES [J].

DING, XP ;

TAN, KK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 177 (01) :226-238

[6]

DING XP, UNPUB MONOTONE GENER

[7]

DING XP, 1991, J SICHUAN NORMAL U, V14, P1

[8]

Ding XP., 1992, C MATH, V63, P233

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

HARTMAN, P ;

STAMPACCHIA, G .

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

[10] EXTENSION OF GENERALIZED MULTIVALUED VARIATIONAL-INEQUALITIES [J].

JOU, CR ;

YAO, JC .

APPLIED MATHEMATICS LETTERS, 1993, 6 (03) :21-25

← 1 2 →