Conditions for the uniqueness of the optimal solution in linear semi-infinite programming |
| |
Authors: | M A Goberna M A Lopez |
| |
Institution: | (1) Faculty of Sciences, University of Alicante, Alicante, Spain |
| |
Abstract: | In this paper, we establish different conditions for the uniqueness of the optimal solution of a semi-infinite programming problem. The approach here is based on the differentiability properties of the optimal value function and yields the corresponding extensions to the general linear semi-infinite case of many results provided by Mangasarian and others. In addition, detailed optimality conditions for the most general problem are supplied, and some features of the optimal set mapping are discussed. Finally, we obtain a dimensional characterization of the optimal set, provided that a usual closedness condition (Farkas-Minkowski condition) holds. |
| |
Keywords: | Semi-infinite programming optimality conditions optimal value function differentiable convex functions |
本文献已被 SpringerLink 等数据库收录! |
|