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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems
Abderrahim Jouranisubject
Mathematics::Functional AnalysisMathematical optimizationMultivalued functionGeneral MathematicsNumerical analysisMathematics::Optimization and ControlBanach spaceSubderivativeType (model theory)Physics::History of Physicssymbols.namesakeVector optimizationLagrange multiplierMetric (mathematics)symbolsApplied mathematicsSoftwareMathematicsdescription
In this paper we introduce qualification conditions for multivalued functions in Banach spaces involving the A-approximate subdifferential, and we show that these conditions guarantee metric regularity of multivalued functions. The results are then applied for deriving Lagrange multipliers of Fritz—John type and Kuhn—Tucker type for infinite non-smooth vector optimization problems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-08-01 | Mathematical Programming |