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Fragmentability of sequences of set-valued mappings with applications to variational principles
Author(s):
Marc
Lassonde;
Julian
P.
Revalski
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2637-2646.
MSC (2000):
Primary 49J53;
Secondary 46B20, 46B22, 54C60
Posted:
March 15, 2005
MathSciNet review:
2146209
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Abstract:
We propose to study fragmentability of set-valued mappings not only for a given single mapping, but also for a sequence of mappings associated with the initial one. It turns out that this property underlies several variational principles, such as for example the Deville-Godefroy-Zizler variational principle and the Stegall variational principle, by providing a common path for proof.
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Additional Information:
Marc
Lassonde
Affiliation:
Laboratoire AOC, Département de Mathématiques, Université des Antilles et de la Guyane, 97159 Pointe-à-Pitre, France
Email:
marc.lassonde@univ-ag.fr
Julian
P.
Revalski
Affiliation:
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Block 8, 1113 Sofia, Bulgaria
Email:
revalski@math.bas.bg
DOI:
10.1090/S0002-9939-05-07865-2
PII:
S 0002-9939(05)07865-2
Received by editor(s):
April 20, 2004
Posted:
March 15, 2005
Additional Notes:
The second author's research was supported by a Marie Curie Fellowship of the European Community program IHP under contract HPMF-CT-2002-01874
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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