The existence of nonlinear inequalities

被引：54

作者：

Ansari, QH ^{[1
]}

Wong, NC ^{[1
]}

Yao, JC ^{[1
]}

机构：

[1] AMU, Dept Math, Aligarh, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 05期

关键词：

nonlinear inequalities; variational inequality problems; variational-like inequality problems; fixed points;

D O I：

10.1016/S0893-9659(99)00062-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The object of this paper is to establish an existence result for:nonlinear inequalities for not necessarily pseudomonotone maps. As a consequence of our result, we give some existence results for variational and variational-like inequalities. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

收藏

页码：89 / 92

页数：4

相关论文

共 20 条

[1] Generalized monotone bifunctions and equilibrium problems [J].

Bianchi, M ;

Schaible, S .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1996, 90 (01) :31-43

[2]

Blum E., 1993, PARAMETRIC OPTIMIZAT, V3, P79

[3]

Blum E., 1994, MATH STUDENT, V63, P127

[4] NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS .2. [J].

BROWDER, FE .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 117 (05) :530-&

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

BROWDER, FE .

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

[6] VARIATIONAL-INEQUALITIES FOR MONOTONE-OPERATORS IN NONREFLEXIVE BANACH-SPACES [J].

CHANG, SS ;

LEE, BS ;

CHEN, YQ .

APPLIED MATHEMATICS LETTERS, 1995, 8 (06) :29-34

[7] SOME REMARKS ON VARIATIONAL-LIKE AND QUASI-VARIATIONAL-LIKE INEQUALITIES [J].

DIEN, NH .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 46 (02) :335-342

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

FAN, K .

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

[9] VARIATIONAL-INEQUALITIES WITH NONMONOTONE OPERATORS [J].

GUO, JS ;

YAO, JC .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (01) :63-74

[10]

GWINNER J, 1995, VARIATIONAL INEQUALITIES AND NETWORK EQUILIBRIUM PROBLEMS, P123