Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.
Extended Bochner Measurable Selectors.
Extensions of measurable functions
Extremal preimage measures and measurable weak sections
First class selectors for weakly upper semi-continuous multi-valued maps in Banach spaces.
Fredholm random operators and random subspaces in Banach spaces
Generalizations of Castaing's theorem on selectors
Generalized Lusin sets with the Blackwell property
Generalizing Hopf and Lax-Oleinik Formulae via Conjugate Integral.
Implicit Markov kernels in probability theory
Having Polish spaces , and we shall discuss the existence of an -valued random vector such that its conditional distributions satisfy or for some maps , or multifunction respectively. The problem is equivalent to the existence of universally measurable Markov kernel defined implicitly by or respectively. In the paper we shall provide sufficient conditions for the existence of the desired Markov kernel. We shall discuss some special solutions of the - or -problem and illustrate...
Integral of multivalued mappings and its connection with differential relations
Integral with respect to fuzzy mesure in finite dimensional Banach spaces.
Integration and decompositions of weak-integrable multifunctions
Conditions guaranteeing Pettis integrability of a Gelfand integrable multifunction and a decomposition theorem for the Henstock-Kurzweil-Gelfand integrable multifunctions are presented.
Intégration par rapport à une multimesure de Radon monotone, à valeurs convexes fermées bornées
Nous introduisons une notion de multimesure de Radon s-compacte, à valeurs convexes fermées bornées, afin de généraliser et d’unifier des résultats établis, pour des multimesures de Radon à valeurs faiblement compactes, par A. Costé, R. Pallu De La Barrière, K. Siggini, D. S. Thiam. Nous présentons l’intégration par rapport à de telles multimesures de Radon ; et démontrons un théorème de correspondance biunivoque, entre les multimesures faibles monotones s-compactes et les multimesures de Radon...
-непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. I: Теоремы существования.
-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. II. Теоремы релаксации
La Extension De Caratheodory Para Medidas Con Valores En Operadores Positivos.
Lemme de Fatou pour l'intégrale de Pettis.
The purpose of this paper is to present Fatou type results for a sequence of Pettis integrable functions and multifunctions. We prove the non vacuity of the weak upper limit of a sequence of Pettis integrable functions taking their values in a locally convex space and we deduce a Fatou's lemma for a sequence of convex weak compact valued Pettis integrable multifunctions. We prove as well a Lebesgue theorem for a sequence of Pettis integrable multifunctions with values in the space of convex compact...
Maximally conjugate sigma-algebras represented as hypergraphs