Artículo de revista
Subdifferentiation of the Infimal Convolution and Minimal Time Problems
Fecha
2020Registro en:
Journal of Convex Analysis 27(No.1): 315-335, 2020
0944-6532
Autor
Hantoute, Abderrahim
Zakaryan, Taron
Institución
Resumen
We investigate in the Banach setting (not necessarily reflexive) first-order variations of the infimal convolution of fairly general functions. We characterize different subdifferentials and differentiability concepts of this infimal convolution by means of the corresponding subdifferentials and differentiability concepts, respectively, of data functions, at points where the infimal convolution is attained, well-posed, or strongly attained. Next, we apply these results to study the (sub)differentiability of minimal time functions associated with constant dynamics satisfying appropriate interiority conditions.