Skip to Main Content

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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces
HTML articles powered by AMS MathViewer

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

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
Similar Articles
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