Extremal characterizations of asplund spaces
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- by Boris S. Mordukhovich and Yongheng Shao PDF
- Proc. Amer. Math. Soc. 124 (1996), 197-205 Request permission
Abstract:
We prove new characterizations of Asplund spaces through certain extremal principles in nonsmooth analysis and optimization. The latter principles provide necessary conditions for extremal points of set systems in terms of Fréchet normals and $\varepsilon$-normals.References
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Additional Information
- Boris S. Mordukhovich
- Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
- MR Author ID: 215154
- ORCID: 0000-0002-3445-2406
- Email: boris@math.wayne.edu
- Yongheng Shao
- Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
- Received by editor(s): February 22, 1994
- Received by editor(s) in revised form: August 1, 1994
- Additional Notes: This research was partially supported by the National Science Foundation under grants DMS-9206989 and DMS-9404128
- Communicated by: Dale Alspach
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 197-205
- MSC (1991): Primary 46B20; Secondary 49J52
- DOI: https://doi.org/10.1090/S0002-9939-96-03049-3
- MathSciNet review: 1291788