Continuous selections for a family of nonconvex-valued mappings with noncompact domain

DOI10.1007/BF02104812zbMath0861.54018OpenAlexW2079718489MaRDI QIDQ1920766

A. A. Tolstonogov, Vladimir V. Goncharov

Publication date: 12 May 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104812

zbMATH Keywords

decomposable subsets

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Selections in general topology (54C65)

Related Items (6)

\(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems ⋮ Shift dynamical systems and measurable selectors of multivalued maps ⋮ \(L_p\)-Continuous selections of fixed points of~multifunctions with~ decomposable values. ~II. Relaxation theorems ⋮ Existence and relaxation theorems for extreme continuous selectors of multifunctions with decomposable values ⋮ \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems ⋮ \(L_p\)-Continuous selections of fixed points of multifunctions with decomposable values. I: Existence theorems

Cites Work

• Continuous selections. I
• Integrals, conditional expectations, and martingales of multivalued functions
• On sublinear functionals defined on the space of Bochner integrable functions
• Continuous selections for a class of non-convex multivalued maps
• Extensions and selections of maps with decomposable values
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