Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces
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- by A. Jourani and L. Thibault
- Trans. Amer. Math. Soc. 347 (1995), 1255-1268
- DOI: https://doi.org/10.1090/S0002-9947-1995-1290719-8
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Abstract:
This paper establishes verifiable conditions in terms of approximate subdifferentials implying openness and metric regularity of multivalued mappings in Banach spaces. The results are then applied to derive Lagrange multipliers for general nonsmooth vector optimization problems.References
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Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 1255-1268
- MSC: Primary 49J52; Secondary 46A30, 46N10, 47N10, 54C60, 90C31
- DOI: https://doi.org/10.1090/S0002-9947-1995-1290719-8
- MathSciNet review: 1290719