Fréchet subspaces of minimal usco and minimal cusco maps

DOI10.36045/j.bbms.221005zbMath1529.54009OpenAlexW4361857781MaRDI QIDQ6050075

Publication date: 18 September 2023

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36045/j.bbms.221005

zbMATH Keywords

isomorphism Fréchet space minimal usco map minimal cusco map topology of uniform convergence on bornology

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Cites Work

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Minimal usco and minimal cusco maps and compactness
Cardinal functions, bornologies and function spaces
Pointwise convergence of quasicontinuous mappings and Baire spaces
Arzelà's theorem and strong uniform convergence on bornologies
Minimal usco maps, densely continuous forms and upper semi-continuous functions
On minimal upper semicontinuous compact-valued maps
Smooth Banach spaces, weak Asplund spaces and monotone or usco mappings
Stegall compact spaces which are not fragmentable
Essentially smooth Lipschitz functions
Quasi-continuity
A characterisation of minimal subdifferential mappings of locally Lipschitz functions
USCO and quasicontinuous mappings
When is the space of minimal usco/cusco maps a topological vector space
Strong Whitney and strong uniform convergences on a bornology
Relations between minimal usco and minimal cusco maps
Minimality of multifunctions
New characterizations of minimal cusco maps
Strong uniform continuity
Relations among continuous and various non-continuous functions
Subcontinuity
Extensions of Semicontinuous Multifunctions
Internal characterization of fragmentable spaces
The Banach-Mazur Game and Generic Existence of Solutions to Optimization Problems
Usco selections of densely defined set-valued mappings
Generic well‐posedness of optimization problems in topological spaces
Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
Completion of hyperspaces of compact subsets and topological completion of open-closed maps
A Gâteaux differentiability space that is not weak Asplund
Topologies on Spaces of Subsets
Continuity points of quasi-continuous mappings.

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