Mappings of bounded \(\Phi\)-variation with arbitrary function \(\Phi\)

DOI10.1023/A:1022889902536zbMath0940.26010OpenAlexW2197962664MaRDI QIDQ1972770

O. E. Galkin, Vyacheslav V. Chistyakov

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022889902536

zbMATH Keywords

set-valued mappingsminimal pathsmodulus of continuityfunctions of bounded variationmappings of bounded \(\Phi\)-variationHelly selection principleregular selectionsnormed space-valued mappings

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 (11)

Convergence in variation and a characterization of the absolute continuity ⋮ On Helly's principle for metric semigroup valued BV mappings to two real variables ⋮ A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Locally Lipschitz composition operators in the space \(\Phi BV[a,b\)] ⋮ Approximation results with respect to multidimensional \(\varphi \)-variation for nonlinear integral operators ⋮ Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators ⋮ Convergence and rate of approximation for linear integral operators in \(BV^{\varphi }\)-spaces in multidimensional setting ⋮ Selections of Bounded Variation ⋮ Sequences of composition operators in spaces of functions of bounded \(\Phi\)-variation ⋮ A concept of absolute continuity and its characterization in terms of convergence in variation ⋮ The optimal form of selection principles for functions of a real variable

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