A differential equation approach for solving implicit state-dependent convex sweeping processes in Banach spaces-Reference-Cited by-同舟云学术

A differential equation approach for solving implicit state-dependent convex sweeping processes in Banach spaces

Published:2023 Issue:1 Volume:9 Page:2123-2136
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bounkhel Messaoud¹,Al-sinan Bushra R.²

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

2. Department of Administrative and Financial Sciences, Nairiyah College, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia; Bushrar@uhb.edu.sa

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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