Optimality conditions based on the Fréchet second-order subdifferential

This paper focuses on second-order necessary optimality conditions for constrained optimization problems on Banach spaces. For problems in the classical setting, where the objective function is C 2 -smooth, we show that strengthened second-order necessary optimality conditions are valid if the const...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 81; no. 2; pp. 351 - 365
Main Authors:	An, D. T. V., Yen, N. D.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2021 Springer Springer Nature B.V
Subjects:	Banach spaces Computer Science Constraints Hypotheses Mathematical functions Mathematical programming Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Second-order tangent set 90C20 90C30 49J53 90C46 Fréchet second-order subdifferential Second-order necessary optimality conditions Generalized polyhedral convex set 49K27 Constrained optimization problems on Banach spaces
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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