Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 65, 2016 - Issue 2
250
Views
5
CrossRef citations to date
0
Altmetric
Articles

Asymptotic optimality conditions for linear semi-infinite programming

&
Pages 387-414 | Received 14 Oct 2014, Accepted 03 May 2015, Published online: 11 Jun 2015
 

Abstract

In this paper, the classical KKT, complementarity and Lagrangian saddle-point conditions are generalized to obtain equivalent conditions characterizing the optimality of a feasible solution to a general linear semi-infinite programming problem without constraint qualifications. The method of this paper differs from the usual convex analysis methods and its main idea is rooted in some fundamental properties of linear programming.

AMS Subject Classifications:

Acknowledgements

The authors of this paper would like to thank the anonymous referees for their valuable and much appreciated comments and suggestions which helped to improve the quality of the paper.

Notes

No potential conflict of interest was reported by the authors.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.