Geodesic
On existence of equilibria of set-valued maps
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 309-321.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The present paper is devoted to sufficient conditions for existence of equilibria of Lipschitz multivalued maps in prescribed subsets of finite-dimensional spaces. The main improvement of the present study lies in the fact that we do not suppose any regular assumptions on the boundary of the subset. Our approach is based on behaviour of trajectories to the corresponding differential inclusion.
L'articolo fornisce delle condizioni sufficienti per l' esistenza di punti di equilibrio di applicazioni multivoche Lipschitziane in assegnati sottoinsiemi di spazi finito-dimensionali. Il principale contributo del presente articolo consiste nel fatto che non si danno condizioni di regolarità sulla frontiera degli insiemi considerati. L'approccio è basato sullo studio del comportamento delle traiettorie della corrispondente inclusione differenziale. 
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Gabor, Grzegorz; Quincampoix, Marc. On existence of equilibria of set-valued maps. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 309-321. https://geodesic-test.mathdoc.fr/item/BUMI_2003_8_6B_2_a2/

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