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arXiv · 1709.10227

Generalized Polyhedral Convex Optimization Problems

Nguyen Ngoc Luan·Jen-Chih Yao
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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.

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Nguyen Ngoc Luan, Jen-Chih Yao. 2017-09-29. Generalized Polyhedral Convex Optimization Problems. https://arxiv.org/abs/1709.10227

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