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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

Implicit differential inclusions in reflexive smooth Banach spaces


Author: Messaoud Bounkhel
Journal: Proc. Amer. Math. Soc. 140 (2012), 2767-2782
MSC (2010): Primary 34A60, 49J53
Posted: December 7, 2011
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Abstract: In this paper we prove the existence of solutions of some types of implicit differential inclusions in reflexive smooth Banach spaces. A positive answer is given to a question of Ding [On a class of implicit differential inclusions, Proc. Amer. Math. Soc., 124 (1996), no. 3, 745-749.]


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Additional Information

Messaoud Bounkhel
Affiliation: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Riyadh, Saudi-Arabia
Email: bounkhel@ksu.edu.sa

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11122-5
PII: S 0002-9939(2011)11122-5
Keywords: Uniformly smooth and uniformly convex Banach spaces, implicit convex sweeping process, generalized projection, duality mapping
Received by editor(s): November 9, 2009
Received by editor(s) in revised form: March 6, 2010 and March 7, 2010
Posted: December 7, 2011
Communicated by: Yingfei Yi
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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