@article{Bounkhel2024, 
author = {Messaoud Bounkhel and Bushra R. Al-sinan},
title = {A differential equation approach for solving implicit state-dependent convex sweeping processes in Banach spaces},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {2123-2136},
keywords = {uniformly smooth and uniformly convex Banach spaces, differential equations, implicit convex sweeping process, generalized projection, duality mapping},
url = {https://www.sciopen.com/article/10.3934/math.2024106},
doi = {10.3934/math.2024106},
abstract = {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.}
}