Second-Order Optimality Conditions for Infinite-Dimensional Quadratic Programs

Second-order necessary and sufficient optimality conditions for local solutions and locally unique solutions of generalized quadratic programming problems in Banach spaces are established in this paper. Since the decomposition procedures using orthogonality relations in Euclidean spaces and the comp...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 192; no. 2; pp. 426 - 442
Main Author:	An, Duong Thi Viet
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2022 Springer Nature B.V
Subjects:	Applications of Mathematics Banach spaces Calculus of Variations and Optimal Control; Optimization Engineering Mathematical programming Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Orthogonality Quadratic programming Theory of Computation 90C20 generalized quadratic programming problem generalized polyhedral convex set second-order optimality condition 90C30 90C46 locally unique solution 90C48 Banach space 49K27
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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