Variational inequalities in nonreflexive Banach spaces

被引：8
作者：
Watson, PJ
机构：
[1] Department of Mathematics, University of Queensland, Brisbane
来源：
APPLIED MATHEMATICS LETTERS | 1997年 / 10卷 / 02期
关键词：
variational inequality; pseudomonotone operator;
D O I：
10.1016/S0893-9659(97)00009-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give sufficient conditions for the existence of solutions to variational inequalities in nonreflexive Banach spaces.
引用
收藏
页码：45 / 48
页数：4
相关论文
共 8 条
[1]   NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS .2. [J].
BROWDER, FE .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 117 (05) :530-&
[2]   VARIATIONAL-INEQUALITIES FOR MONOTONE-OPERATORS IN NONREFLEXIVE BANACH-SPACES [J].
CHANG, SS ;
LEE, BS ;
CHEN, YQ .
APPLIED MATHEMATICS LETTERS, 1995, 8 (06) :29-34
[3]   NONLINEAR MONOTONOUS OPERATORS IN NONREFLEXIVE BANACH SPACES [J].
GOSSEZ, JP .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (02) :371-&
[4]   ON SOME NON-LINEAR ELLIPTIC DIFFERENTIAL-FUNCTIONAL EQUATIONS [J].
HARTMAN, P ;
STAMPACCHIA, G .
ACTA MATHEMATICA UPPSALA, 1966, 115 (3-4) :271-+
[5]   DEMICONTINUITY HEMICONTINUITY + MONOTONICITY [J].
KATO, T .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (04) :548-&
[6]  
Pascali D, 1978, Nonlinear mappings of monotone type
[7]   A FIXED-POINT THEOREM EQUIVALENT TO THE FAN-KNASTER-KURATOWSKI-MAZURKIEWICZ THEOREM [J].
TARAFDAR, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 128 (02) :475-479
[8]  
TARAFDAR E, 1986, INDIAN J MATH, V28, P229
1