Continuity phenomenon of Kenderov and porosity: the case of countable systems

MaRDI QIDQ6620705

Pando Grigorov Georgiev

Publication date: 17 October 2024

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

zbMATH Keywords

multivalued mappingBaire category\(\sigma\)-porous setlower almost continuity(fully) cone porous set(strictly) submonotone operatorgeneralized monotone multifunction

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Weak and generalized continuity (54C08) Set-valued operators (47H04) Monotonic functions, generalizations (26A48)

Cites Work

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• Asplund spaces, Stegall variational principle and the RNP
• Porosity and \(\sigma\)-porosity
• Optimization of functions on certain subsets of Banach spaces
• Submonotone mappings in Banach spaces and applications
• On \(\sigma\)-porous sets in abstract spaces
• Frechet Differentiation of Convex Functions in a Banach Space with a Separable Dual
• Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
• Porosity of ill-posed problems
• Paracompactness and product spaces

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