Download e-book for iPad: Analyse Convexe et Ses Applications: Comptes Rendus, Janvier by A. Auslender, M. Gourgand, A. Guillet (auth.), Prof. Dr.

By A. Auslender, M. Gourgand, A. Guillet (auth.), Prof. Dr. Jean-Pierre Aubin (eds.)

ISBN-10: 354007015X

ISBN-13: 9783540070153

ISBN-10: 3662006383

ISBN-13: 9783662006382

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Additional resources for Analyse Convexe et Ses Applications: Comptes Rendus, Janvier 1974

Example text

C.. p. R, il existe un graphe maximal monotone unique S tel que fer) E. p. r€IR. On peut donc identifier un graphe maximal monotone de R partout defini a un element de L~oc(R) et donc a une mesure de Radon sur IR. Conside- rant h le graphe d'Heaviside h:rEIR ..... j h 0 si r < 0 sign+r=[o,~ sir=o 1 si r > 0 1 {graphe maximal monotone de R partout defini a support dans R+} Enfin etant donne 11 e ~(R+) on note 'V 11 la mesure de Radon v 11 la mesure de Radon f E x: (R) 10+ r {fer) + f(-r)} d11(r) 0 f E.

E. p) ; la reciproque est vraie si S est lineaire. p. :J

GOULD • TOLLE : Exact penalty functions in non linear programming Mathematical Programming 4 (1973). [8J GOURGANO [9J KIEFER and WOLFOWITZ : Stochastic Estimation of the Maximum of a Regression These de 3eme cycle - Universite de Clermont - 1974. Function. Ann. Math. Statistics. 23. N° 3 (1952). [1 oJ LAURENT: Approximation et optimisation. Hermann - 1972. [11] LIONS Quelques methodes de r~solution des problemes aux limites non lineaires. Ounod (1969). [12J ORTEGA and RHEINBOLOT : Iterative solution of non-linear equations in several variables (1970).

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Analyse Convexe et Ses Applications: Comptes Rendus, Janvier 1974 by A. Auslender, M. Gourgand, A. Guillet (auth.), Prof. Dr. Jean-Pierre Aubin (eds.)


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