Relationships Between Polyhedral Convex Sets and Generalized Polyhedral Convex Sets

In this paper, we study some relationships between polyhedral convex sets and generalized polyhedral convex sets. In particular, we clarify by a counterexample that the necessary and sufficient conditions for the separation of a convex set and a polyhedral convex set obtained by Ng et al. (Nonlinear...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 199; no. 2; pp. 766 - 786
Main Authors:	Luan, Nguyen Ngoc, Nam, Nguyen Mau, Thieu, Nguyen Nang, Yen, Nguyen Dong
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2023 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus Calculus of Variations and Optimal Control; Optimization Cones Convex analysis Convexity Engineering Mathematical functions Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Polyhedra Regular Paper Theory of Computation 90C31 Optimal value function Separation 49J53 Normal cone 49J52 Convex polyhedron Generalized convex polyhedron Coderivative Subdifferential
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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