Abstract
In this paper we study to what extent properties of the classical linear Volterra operators can 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.
Citation
Sorin G. Gal. "Volterra-Choquet nonlinear operators." Topol. Methods Nonlinear Anal. 57 (1) 89 - 106, 2021. https://doi.org/10.12775/TMNA.2020.009
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