Equilibria for set-valued maps on nonsmooth domains

被引：0

作者：

Ben-El-Mechaiekh, Hichem ^{[1
]}

机构：

[1] Brock Univ, Dept Math, St Catharines, ON L2S 3A1, Canada

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2008年 / 4卷 / 02期

关键词：

Equilibria; strongly approachable set-valued maps; nonsmooth domains; approximative absolute neighborhood retracts; lipschitzian retracts; Clarke's tangent cone; Euler characteristic; trivial shape;

D O I：

10.1007/s11784-008-0074-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A set-valued map defined on a compact lipschitzian retract of a normed space with nontrivial Euler characteristic and satisfying (i) a strong graph approximation property and (ii) a tangency condition expressed in terms of Clarke's tangent cone, admits an equilibrium. This result extends in a simple way known solvability theorems to a large class of nonconvex set-valued maps defined on nonsmooth domains.

引用

页码：177 / 182

页数：6

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