Volterra-Choquet nonlinear operators
arXiv:2003.00004 · doi:10.12775/TMNA.2020.009
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.
17 pages