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Equilibria for set-valued maps on nonsmooth domains |
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| Authors: | Hichem Ben-El-Mechaiekh |
| Institution: | (1) Department of Mathematics, Brock University, Saint Catharines, Ontario, Canada, L2S 3A1 |
| Abstract: | 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. Dedicated to Professor Felix Browder |
| Keywords: | " target="_blank"> Equilibria strongly approachable set-valued maps nonsmooth domains approximative absolute neighborhood retracts lipschitzian retracts Clarke’ s tangent cone Euler characteristic trivial shape |
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