Geodesic
On existence of equilibria of set-valued maps
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 309-321 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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. 
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     author = {Gabor, Grzegorz and Quincampoix, Marc},
     title = {On existence of equilibria of set-valued maps},
     journal = {Bollettino della Unione matematica italiana},
     pages = {309--321},
     year = {2003},
     volume = {Ser. 8, 6B},
     number = {2},
     zbl = {1150.49007},
     mrnumber = {MR1988207},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a2/}
}
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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. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a2/