Existence of Solutions to a Generalized System

被引：17

作者：

Kazmi, K. R. ^{[1
]}

Khan, S. A. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 142卷 / 02期

关键词：

Generalized system; Strong pseudomonotone mapping; Hemicontinuous mapping; VECTOR VARIATIONAL-INEQUALITIES;

D O I：

10.1007/s10957-009-9530-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we consider a generalized system in real Banach spaces. Using Brouwer's fixed-point theorem, we establish some existence theorems for generalized system without monotonicity. Further, we extend the concept of C-strong pseudomonotonicity for a bifunction and extend Minty's lemma for a generalized system. Furthermore, using the Minty lemma and KKM-Fan lemma, we establish an existence theorem for a generalized system with monotonicity in real reflexive Banach spaces.

引用

页码：355 / 361

页数：7

共 7 条

[1]

Blum E., 1994, MATH STUDENT, V63, P123

[2] Invariance of the n dimensional field [J].

Brouwer, LEJ .

MATHEMATISCHE ANNALEN, 1912, 72 :55-56

[3]

Chen GY, 2000, NONCON OPTIM ITS APP, V38, P73

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

FAN, K .

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

[5] Strong vector variational inequalities in Banach spaces [J].

Fang, YP ;

Huang, NJ .

APPLIED MATHEMATICS LETTERS, 2006, 19 (04) :362-368

[6]

Giannessi F., 1980, Variational Inequality and complementarity problems, P151

[7] Existence of solutions to some equilibrium problems [J].

Rouhani, BD ;

Tarafdar, E ;

Watson, PJ .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 126 (01) :97-107

← 1 →