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A general metric regularity in asplund banach spaces |
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| Authors: | T. Amahroq A. Jourani L. Thibault |
| Affiliation: | 1. Département de Mathématiques , Faculté des Sciences et Techniques , B.P. 618, Marrakech, MAROC.;2. Laboratoire Analyse Appliquée etOptimisation , Université de Bourgogne , B.P. 400, Dijon Cedex, FRANCE, 21011;3. Département des Sciences Mathématiques , Université Montpellier II , Montpellier Cedex 5, FRANCE, 34095 |
| Abstract: | This paper establishes a simple and easily-applied criterion for determining whether a multivalued mapping is metrically regular relatively to a subset in the range space. |
| Keywords: | Asplund Banach space Metric regularity sub-differential Coderivative Compactly epi-Lipschitzian multivalued mapping Coderivatively compact multivalued mapping. Mathematics Subject Classification 1991 :Primary 54c60 Mathematics Subject Classification 1991 :Primary 46a30 Mathematics Subject Classification 1991 :Primary Secondary 90c29 |