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.
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页码：177 / 182
页数：6
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