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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces
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by A. Jourani and L. Thibault PDF
Trans. Amer. Math. Soc. 347 (1995), 1255-1268 Request permission

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.
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Additional 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