Metric and topological properties of nondecomposable sets

DOI10.1016/0362-546X(93)90091-6zbMath0779.46030OpenAlexW2080644971MaRDI QIDQ5287333

Sandro Zagatti

Publication date: 12 January 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90091-6

zbMATH Keywords

convex setvariational problemssublevel setdecomposable setcompact fixed point propertyDugundji's extension propertyKuratowsky indexspace of the summable functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Fixed-point theorems (47H10) Existence theories for problems in abstract spaces (49J27)

Cites Work

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• Integrals, conditional expectations, and martingales of multivalued functions
• The generalization of Cellina's Fixed Point Theorem
• Continuous selections for a class of non-convex multivalued maps
• Approximate Selections and Fixed Points for Upper Semicontinuous Maps with Decomposable Values
• Extensions and selections of maps with decomposable values

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