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 under four major headings : measurable selections, Liapunov's theorem, differential in...
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...
Kuratowski and Ryll-Nardzewski's theorem about the existence of measurable selectors for multi-functions is one of the keystones for the study of set-value... B Cascales,V Kadets,J Rodríguez - 《Journal of Functional Analysis》 被引量: 58发表: 2009年 ...
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 ...
[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, ...
On evolution inclusions with nonconvex valued orientor fieldsdoi:10.1016/0362-546X(94)00287-RMonotone operatorsdifferential inclusionsmeasurable multifunctionsevolution tripleD. Kravvaritis and G. PantelidisNonlinear Analysis: Theory, Methods & Applications...
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
If a set-valued map F:\mathbb{R }^n \supset D\rightarrow bcl(Y) is strongly midconvex with modulus c and Lebesgue measurable, then it is continuous and strongly convex with modulus c. Remark 8 Convex set-valued maps arise naturally from, e.g., the constraints of convex optimization ...
Topological property of the profile of a measurable multifunction with compact convex valuesSecond order évolution inclusion and fractional inclusion in the context of Bochner, Gelfand, Pettis intégration with application to subdifferential operator and Variational analyses...
A computational procedure for two dimensional sets is outlined and some examples of the new difference are given. Keywords: convex set-valued gH-difference; set-valued Analysis; multidimensional fuzzy gH-difference 1. Introduction It is well-known that in interval and set-valued arithmetic, the ...