Scalar Lagrange Multiplier Rules for Set-Valued Problems in Infinite-Dimensional Spaces

This paper deals with Lagrange multiplier rules for constrained set-valued optimization problems in infinite-dimensional spaces, where the multipliers appear as scalarization functions of the maps instead of the derivatives. These rules provide necessary conditions for weak minimizers under hypothes...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 156; no. 3; pp. 683 - 700
Main Authors:	Rodríguez-Marín, Luis, Sama, Miguel
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.03.2013 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Constraints Control theory Derivatives Engineering Hypotheses Lagrange multiplier Lagrange multipliers Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Partial differential equations Scalars Stability Theory of Computation Lagrange multiplier rules Set-valued optimization Vector optimization Contingent (epi)derivatives
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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