Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces

被引：2

作者：

ISAC G

机构：

[1] Department of Mathematics

[2] Royal Military College of Canada P O Box STN Forces Kingston

[3] Ontario

[4] Canada KK B

来源：

Journal of Zhejiang University Science A(Science in Engineering) | 2005年 / 04期

关键词：

Exceptional family of elements (EFE); Banach spaces and complementarity;

D O I：

暂无

中图分类号：

O177.1 [希尔伯特空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

The notion of “exceptional family of elements (EFE)” plays a very important role in solving complementarity prob- lems. It has been applied in finite dimensional spaces and Hilbert spaces by many authors. In this paper, by using the generalized projection defined by Alber, we extend this notion from Hilbert spaces to uniformly smooth and uniformly convex Banach spaces, and apply this extension to the study of nonlinear complementarity problems in Banach spaces.

引用

页码：40 / 46

页数：7

共 6 条

[1]

Solvability of Implicit Complementarity Problems[J] . Vyacheslav V. Kalashnikov,George Isac.Annals of Operations Research . 2002 (1)

[2]

Exceptional Families of Elements, Feasibility and Complementarity[J] . G. Isac.Journal of Optimization Theory and Applications . 2000 (3)

[3]

Quasi-P*-Maps, P（τ, α, β）-Maps, Exceptional Family of Elements, and Complementarity Problems[J] . Y. B. Zhao,G. Isac.Journal of Optimization Theory and Applications . 2000 (1)

[4]

Exceptional Families of Elements for Continuous Functions: Some Applications to Complementarity Theory[J] . G. Isac,A. Carbone.Journal of Global Optimization . 1999 (2)

[5] Functions without exceptional family of elements and complementarity problems [J].

Isac, G ;

Obuchowska, WT .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1998, 99 (01) :147-163

[6]

Exceptional Families, Topological Degree and Complementarity Problems[J] . G. Isac,V. Bulavski,V. Kalashnikov.Journal of Global Optimization . 1997 (2)

← 1 →