Verifiable conditions for openness and regularity of multivalued mappings in Banach spaces
Abderrahim Jourani, Lionel Thibault · Transactions of the American Mathematical Society · 1995
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.