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 , 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
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