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  • Research Article
  • Open Access

Optimality Conditions and Duality in Nonsmooth Multiobjective Programs

Journal of Inequalities and Applications20102010:939537

  • Received: 29 October 2009
  • Accepted: 14 March 2010
  • Published:


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.


  • Optimality Condition
  • Programming Problem
  • Regularity Condition
  • Dual Problem
  • Lipschitz Function

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Authors’ Affiliations

Division of Mathematical Sciences, Pukyong National University, Busan, 608-737, South Korea