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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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Additional Information
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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