- Research Article
- Open Access
- Published:
Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
Journal of Inequalities and Applications volume 2010, Article number: 939537 (2010)
Abstract
We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced. Sufficient optimality conditions are presented by using generalized convexity and certain regularity conditions. We formulate Wolfe-type dual and Mond-Weir-type dual problems for our nonsmooth multiobjective problems and establish duality theorems for (weak) Pareto-optimal solutions under generalized convexity assumptions and regularity conditions.
Publisher note
To access the full article, please see PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Kim, D., Lee, H. Optimality Conditions and Duality in Nonsmooth Multiobjective Programs. J Inequal Appl 2010, 939537 (2010). https://doi.org/10.1155/2010/939537
Received:
Accepted:
Published:
DOI: https://doi.org/10.1155/2010/939537
Keywords
- Optimality Condition
- Programming Problem
- Regularity Condition
- Dual Problem
- Lipschitz Function