A selection principle for mappings of bounded variation

DOI10.1006/jmaa.2000.6844zbMath0982.54022OpenAlexW2056455346MaRDI QIDQ1587431

S. A. Belov, Vyacheslav V. Chistyakov

Publication date: 2 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6844

zbMATH Keywords

bounded variationmetric space valued mappingsregular selectionsextended Helly selection principleJFM 43.0418.02

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued functions (26E25) Set-valued maps in general topology (54C60) Selections in general topology (54C65) Functions of bounded variation, generalizations (26A45)

Related Items (20)

On Helly's principle for metric semigroup valued BV mappings to two real variables ⋮ Closure properties for integral problems driven by regulated functions via convergence results ⋮ Selections of bounded variation under the excess restrictions ⋮ A quantitative version of Helly's selection principle in Banach spaces and its applications ⋮ Discontinuous local semiflows for Kurzweil equations leading to LaSalle's invariance principle for differential systems with impulses at variable times ⋮ Nonlocal conditions for differential inclusions in the space of functions of bounded variations ⋮ A generalization of the Helly theorem for functions with values in a uniform space ⋮ A note on tameness of families having bounded variation ⋮ A pointwise selection principle for metric semigroup valued functions ⋮ A selection principle for uniform space-valued functions ⋮ Selections of Bounded Variation ⋮ Approximating the solutions of differential inclusions driven by measures ⋮ Maps of several variables of finite total variation. II: E. Helly-type pointwise selection principles ⋮ Maps of several variables of finite total variation. I: Mixed differences and the total variation ⋮ Measure differential inclusions through selection principles in the space of regulated functions ⋮ Measure differential inclusions: existence results and minimum problems ⋮ Differential equations and inclusions of fractional order with impulse effects in Banach spaces ⋮ Asymmetric variations of multifunctions with application to functional inclusions ⋮ Regular Carathéodory-type selectors under no convexity assumptions ⋮ Set-valued problems under bounded variation assumptions involving the Hausdorff excess

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• On the theory of set-valued maps of bounded variation of one real variable
• Maps of bounded variation with values in a metric space
• On Continuous and Measurable Selections and the Existence of Solutions of Generalized Differential Equations
• Set-valued analysis
• Generalized variation of mappings and applications

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