Approximations and Metric Regularity in Mathematical Programming in Banach Space
Abderrahim Jourani, Lionel Thibault · Mathematics of Operations Research · 1993
This paper establishes verifiable conditions ensuring the important notion of metric regularity for general nondifferentiable programming problems in Banach spaces. These conditions are used to obtain Lagrange-Kuhn-Tucker multipliers for minimization problems with infinitely many inequality and equality constraints.