Generalized Polyhedral Convex Optimization Problems
Optimization and Control
2017-10-02 v1
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.
Cite
@article{arxiv.1709.10227,
title = {Generalized Polyhedral Convex Optimization Problems},
author = {Nguyen Ngoc Luan and Jen-Chih Yao},
journal= {arXiv preprint arXiv:1709.10227},
year = {2017}
}