King Saud University, Department of Mathematics
P.O. Box 2455, Riyadh 11451, Riyadh, Saudi-Arabia
email: bounkhel@ksu.edu.sa, bounkhel_messaoud@yahoo.fr
Messaoud Bounkhel
Abstract:
We show the existence of at least one Lipschitz solution
for extensions of convex sweeping processes in reflexive smooth
Banach spaces. Our resultis proved under a weaker
assumption on the moving set than those in [3],
and using a different discretization.
Submitted February 14, 2012. Published October 4, 2012.
Math Subject Classifications: 34A60, 49J53.
Key Words: Uniformly smooth and uniformly convex Banach spaces;
state dependent sweeping process; generalized projection;
duality mapping
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Messaoud Bounkhel King Saud University, Department of Mathematics P.O. Box 2455, Riyadh 11451, Riyadh, Saudi-Arabia email: bounkhel@ksu.edu.sa, bounkhel_messaoud@yahoo.fr |
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