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Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
Journal of Inequalities and Applications volume 2010, Article number: 939537 (2010)
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.
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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
- Optimality Condition
- Programming Problem
- Regularity Condition
- Dual Problem
- Lipschitz Function