Generalized variation of mappings with applications to composition operators and multifunctions

DOI10.1023/A:1011879221347zbMath1027.47046OpenAlexW68356921MaRDI QIDQ5951642

Vyacheslav V. Chistyakov

Publication date: 28 April 2003

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011879221347

zbMATH Keywords

mappings of bounded \(\Phi\)-variationmultivalued composition operators

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Set-valued operators (47H04) Selections in general topology (54C65) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46)

Related Items (17)

The Nemytskii operator in bounded \((p,\alpha)\)-variation space ⋮ A new concept of multidimensional variation in the sense of Riesz and applications to integral operators ⋮ Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation ⋮ Nemytskii operator on \((\phi,2,\alpha )\)-bounded variation space in the sense of Riesz ⋮ A generalization of the Helly theorem for functions with values in a uniform space ⋮ On metric semigroups-valued functions of bounded Riesz-\(\Phi\)-variation in several variables ⋮ Selections of Bounded Variation ⋮ A Banach algebra of functions of several variables of finite total variation and Lipschitzian superposition operators. I ⋮ Lipschitzian Operators of Substitution in the Algebra ΛBV ⋮ A concept of absolute continuity and its characterization in terms of convergence in variation ⋮ 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 ⋮ Modular metric spaces. I: Basic concepts ⋮ Modular metric spaces. II: Application to superposition operators ⋮ On Nemytskij operator in the space of absolutely continuous set-valued functions

This page was built for publication: Generalized variation of mappings with applications to composition operators and multifunctions