Equilibria for set-valued maps on nonsmooth domains

被引：0

作者：

Hichem Ben-El-Mechaiekh

机构：

[1] Brock University,Department of Mathematics

来源：

Journal of Fixed Point Theory and Applications | 2008年 / 4卷

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; Primary 05C38, 15A15; Secondary 05A15, 15A18;

D O I：

暂无

中图分类号：

学科分类号：

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：5

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