On the theory of Banach space valued multifunctions. II: Set valued martingales and set valued measures

DOI10.1016/0047-259X(85)90079-XzbMath0579.28010MaRDI QIDQ1067035

Nikolaos S. Papageorgiou

Publication date: 1985

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

measurable selectionset-valued measuresmeasurable multifunctionAumann's integralconvergence of set-valued martingalesset-valued Radon- Nikodým derivative

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Generalizations of martingales (60G48) Vector-valued measures and integration (46G10)

Related Items (26)

Doob's Decomposition Theorem for Fuzzy (Super) Submartingales ⋮ Random fuzzy sets and fuzzy martingales ⋮ A new fuzzy-valued integral and its convergence theorems ⋮ Convergence theorems for set-valued amarts and uniform amarts ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A new integral with respect to a generalized fuzzy number measure ⋮ New set-valued integral in a Banach space ⋮ On multivalued supermartingales with continuous parameter:martingale selectors and their regularity ⋮ On Convergence and Closedness of Multivalued Martingales ⋮ Decomposition and representation theorem of set-valued amarts ⋮ Almost sure convergence of set-valued martingales and submartingales ⋮ A fuzzy Gould type integral ⋮ Stochastic integral with respect to set-valued square integrable martingales ⋮ Essential (convex) closure of a family of random sets and its applications ⋮ Weak Convergence and Weak Compactness for Multifunctions with Values in a Separable Banach Space ⋮ Contributions to the Theory of Set Valued Functions and Set Valued Measures ⋮ Convergence theorems for set-valued martingales and semimartingales ⋮ Convergence and representation theorems for set valued random processes ⋮ Decomposition and representation of fuzzy valued measure ⋮ Some properties and convergence theorems for fuzzy-valued Kluvánek-Lewis integrals ⋮ Representation of fuzzy-valued mappings by the sequence of single-valued mappings ⋮ Convergence of set-valued and fuzzy-valued martingales ⋮ Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense ⋮ Radon-Nikodym theorem and Vitali-Hahn-Saks theorem on fuzzy number measures in Banach spacers ⋮ M-convergence, et régularité des martingales multivoques: Epi- martingales. (M-convergence and regularity of multivalued martingales: Epi-martingales) ⋮ The integral theory of Ioffe's fans

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