Volterra-Choquet nonlinear operators

DOI10.12775/TMNA.2020.009arXiv2003.00004MaRDI QIDQ6335825

Publication date: 28 February 2020

Abstract: In this paper we study to what extend some properties of the classical linear Volterra operators could be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the nonlinear Choquet integral with respect to a nonadditive set function. Compactness, Lipschitz and cyclicity properties are studied.

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integration with respect to measures and other set functions (28A25)

This page was built for publication: Volterra-Choquet nonlinear operators

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6335825)