A differential equation approach for solving implicit state-dependent convex sweeping processes in Banach spaces
Messaoud Bounkhel, Bushra R. Al-Sinan · AIMS Mathematics · 2023
In the setting of $ 2 $-uniformly convex Banach spaces, we prove the existence of solutions for a variant of the implicit state-dependent convex sweeping processes. Our approach is based on a differential equation associated with the generalized projection operator.