6533b824fe1ef96bd12812ac

RESEARCH PRODUCT

Approximations and Metric Regularity in Mathematical Programming in Banach Space

Abderrahim JouraniL. Thibault

subject

Minimisation (psychology)Mathematical optimizationGeneral MathematicsMathematics::Optimization and ControlConstrained optimizationBanach spaceSubderivativeManagement Science and Operations ResearchComputer Science Applicationssymbols.namesakeLagrange multiplierMetric (mathematics)symbolsVerifiable secret sharingMinificationMathematics

description

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.

yearjournalcountryeditionlanguage
1993-05-01Mathematics of Operations Research
https://doi.org/10.1287/moor.18.2.390