The measurable multifunctions (Liapunov's theorem) with generalized gradients which establishes a correspondence or multi-valued mapping are studied. The interesting questions in consideration were classified u
Book TitleConvex Analysis and Measurable Multifunctions AuthorsCharles Castaing, Michel Valadier Series TitleLecture Notes in Mathematics DOIhttps://doi.org/10.1007/BFb0087685 PublisherSpringer Berlin, Heidelberg eBook PackagesSpringer Book Archive
Convex Analysis and Measurable Multifunctions, Lect. Notes Math., 580, Springer-Verlag, Berlin (1977) Google Scholar 6 F.H. Clarke Methods of Dynamic and Nonsmooth Optimization, CBMS-NSF Regional Conf. Ser. in Appl. Math., SIAM, Philadelphia (1989) Google Scholar 7 G. Colombo, and, V....
Valadier, “Convex analysis and measurable multifunctions,” Lect. Notes Math.,580 (1977). J. P. R. Christensen, Topoly and Borel Structure, North-Holland, Amsterdam (1974). Google Scholar N. Christopeit, “Necessary optimality conditions with application to a variational problem,” SIAM ...
Convex Analysis and Measurable Multifunctions, LNM, vol. 580, Springer, Berlin (1977) Google Scholar [21] A. Cernea Existance for nonconvex integral inclusions via fixed points Arch. Math. (Brno), 39 (2003), pp. 293-298 Google Scholar [22] A. Cernea A Filippov type existence theorem fo...
Numerical Functional Analysis and OptimizationGautier, S., Morchadi, R.: A selection of convex-compact-valued multi-functions with remarkable properties: the Steiner selection. Numer. Funct. Anal. Optim. 13 (5–6), 513–522 (1992)S. Gautier and R. Morchadi, A selection of convex-compact-...
Convex Analysis and Measurable MultifunctionsThe present work is devoted to convex analysis, measurable multifunctions and some of their applications. The only necessary prerequisite for an intelligent reading is a good knowledge of analysis (Bourbaki or Dunford-Schwartz are appropriate references...
[1977] Convex analysis and measurable multifunctions. Lect. Notes Math. 580, Springer-Verlag. Berlin Heidelberg New York. Zbl. 346. 46038 Google Scholar Cauchy, A. [1913] Sur les polygones et les polyédres. Second Memoire J. École Polytechn. 9. Oeuvres Complétes (2) Vol. 1, ...
Castaing, C., Valadier, M.: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol. 580. Springer, Berlin (1977) Google Scholar Chu, H.Y., Kim, A., Yoo, S.K.: On the stability of the generalized cubic set-valued functional equation. Appl. Math. Lett. 37...
A differential calculus of multifunctions J. Math. Analysis Applic. (1970) A. Lasota et al. Asymptotic behavior for differential equations which cannot be locally linearized J. Diff. Eqns (1971) F.A. Valentine Convex Sets (1964) R.T. Rockafellar Convex Analysis (1970) A. Pliś Uniqueness...