On some nonlinear operators in \(\Lambda BV\)-spaces

DOI10.1007/s11784-017-0450-0zbMath1493.47073OpenAlexW2625017747WikidataQ59609168 ScholiaQ59609168MaRDI QIDQ1684890

Dariusz Bugajewski, Klaudiusz Czudek, Jȩdrzej Sadowski, Jacek Gulgowski

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0450-0

zbMATH Keywords

compact embeddingexistence theoremsuperposition operatorAronszajn-type theoremvariation in the sense of Jordanlinear integral operator of Fredholm-typenonlinear Hammerstein integral equation\(\Lambda\)-variationWaterman sequence

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Functions of bounded variation, generalizations (26A45) Kernel operators (47B34)

Related Items (8)

Bernstein and Kantorovich polynomials diminish the \(\Lambda\)-variation ⋮ Compactness in the spaces of functions of bounded variation ⋮ On the characterization of compactness in the space of functions of bounded variation in the sense of Jordan ⋮ The form of locally defined operators in Waterman spaces ⋮ Uniform continuity of nonautonomous superposition operators in \(\Lambda\)BV-spaces ⋮ On integral bounded variation ⋮ On \(\Lambda_p BV\)-solutions of some nonlinear integral equations on the plane ⋮ Relatively compact sets of Banach space-valued bounded-variation spaces

Cites Work

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• Unnamed Item

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