Generalized polyhedral convex optimization problems

Nguyen Ngoc Luan () and Jen-Chih Yao ()
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Nguyen Ngoc Luan: Hanoi National University of Education
Jen-Chih Yao: China Medical University

Journal of Global Optimization, 2019, vol. 75, issue 3, No 8, 789-811

Abstract: Abstract Generalized polyhedral convex optimization problems in locally convex Hausdorff topological vector spaces are studied systematically in this paper. We establish solution existence theorems, necessary and sufficient optimality conditions, weak and strong duality theorems. In particular, we show that the dual problem has the same structure as the primal problem, and the strong duality relation holds under three different sets of conditions.

Keywords: Locally convex Hausdorff topological vector space; Generalized polyhedral convex optimization problem; Solution existence; Optimality condition; Duality; 90C25; 90C46; 90C48; 49N15 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10898-019-00763-4

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