Local cone approximations in optimization
M. Castellani, M. Pappalardo (2007)
Control and Cybernetics
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M. Castellani, M. Pappalardo (2007)
Control and Cybernetics
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H. Frankowska (1985)
Annales de l'I.H.P. Analyse non linéaire
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Xu, Y.D., Li, S.J. (2011)
Journal of Inequalities and Applications [electronic only]
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Zhou, Zhiang (2011)
Journal of Inequalities and Applications [electronic only]
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Aurelian Cernea (2014)
Mathematica Bohemica
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We consider a nonlinear differential inclusion defined by a set-valued map with nonconvex values and we prove that the reachable set of a certain variational inclusion is a derived cone in the sense of Hestenes to the reachable set of the initial differential inclusion. In order to obtain the continuity property in the definition of a derived cone we use a continuous version of Filippov's theorem for solutions of our differential inclusion. As an application, in finite dimensional spaces,...
Qiu, Qiusheng (2009)
Journal of Inequalities and Applications [electronic only]
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