On efficient applications of G-Karush-Kuhn-Tucker necessary optimality theorems to multiobjective programming problems

  • Authors:

  • Moon Hee Kim;Gue Myung Lee

  • Affiliations:

  • School of Free Major, Tongmyong University, Busan, Korea 608-711;Department of Applied Mathematics, Pukyong National University, Busan, Korea 608-737

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2013

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Abstract

We prove a slightly modified G-Karush-Kuhn-Tucker necessary optimality theorem for multiobjective programming problems, which was originally given by Antczak (J Glob Optim 43:97---109, 2009), and give an example showing the efficient application of (modified) G-Karush-Kuhn-Tucker optimality theorem to the problems.