2000 character limit reached
Volterra-Choquet nonlinear operators (2003.00004v1)
Published 28 Feb 2020 in math.CA
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.