Existence of sweeping process in Banach spaces under directional prox-regularity

Details Existence of sweeping process in Banach spaces under directional prox-regularity Existence of sweeping process in Banach spaces under directional prox-regularity

2008-12-26

arxiv.org/abs/0812.4673v3

Mathematics

Classical Analysis and ODEs

33 pages

Scientific paper

This paper is devoted to weaken "classical" assumptions and give new arguments to prove existence of sweeping process (associated to the proximal normal cone of sets). Mainly we define the concept of a "directional prox-regularity" and give assumptions about a Banach space to insure the existence of such sweeping process (which permit to generalize the existing results requiring a Hilbertian structure).

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