On strong approximations of usc nonconvex-valued mappings

DOI10.1006/jath.2002.3707zbMath1021.54020OpenAlexW2082260245MaRDI QIDQ1867511

Dušan D. Repovš, Pavel V. Semenov

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3707

zbMATH Keywords

approximationselectionmultivalued mappingHausdorff distanceCellina's theoremparaconvexityfunction of nonconvexity

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Axiomatic and generalized convexity (52A01) Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Approximate selections for upper semicontinuous convex valued multifunctions
• On a theorem of Cellina for set valued functions
• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
• On the Lebesgue function of open coverings
• On a relation between the nonconvexity of a set and the nonconvexity of its \(\epsilon\)-neighborhood
• On paraconvexity of graphs of continuous functions
• On functions of nonconvexity for graphs of continuous functions
• Approximation of set valued functions and fixed point theorems
• Paraconvex Sets.
• Cell-like maps. The problem of raising dimension
• K-Theory of Eilenberg-Mac Lane Spaces and Cell-Like Mapping Problem

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