Mappings of bounded variation with values in a metric space: Generalizations

DOI10.1007/BF02672711zbMath1001.26021MaRDI QIDQ1585390

Vyacheslav V. Chistyakov

Publication date: 7 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

differentiabilityset-valued mappingselection principlecompact-valued multifunction\((\Phi ,\sigma)\)-variationregular selection

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued functions (26E25) Variational problems in a geometric measure-theoretic setting (49Q20) Selections in general topology (54C65) Functions of bounded variation, generalizations (26A45)

Related Items (5)

A generalization of the Helly theorem for functions with values in a uniform space ⋮ Asymmetric variations of multifunctions with application to functional inclusions ⋮ Regular Carathéodory-type selectors under no convexity assumptions ⋮ The optimal form of selection principles for functions of a real variable ⋮ A selection principle for mappings of bounded variation

Cites Work

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• Metric-valued mappings of bounded variation.
• On mappings of bounded variation
• Nonlinear semigroups in Hilbert space
• On the theory of set-valued maps of bounded variation of one real variable
• Selections of Bounded Variation
• On Continuous and Measurable Selections and the Existence of Solutions of Generalized Differential Equations

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