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

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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.

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Authors and Affiliations

  1. School of Free Major, Tongmyong University, Busan, 608-711, Korea

    Moon Hee Kim

  2. Department of Applied Mathematics, Pukyong National University, Busan, 608-737, Korea

    Gue Myung Lee

Authors
  1. Moon Hee Kim
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  2. Gue Myung Lee
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Correspondence to Gue Myung Lee.

Additional information

The authors would like to thank referees for their valuable comments. This work was supported by the Korea Science and Engineering Foundation (KOSEF) NRL program grant funded by the Korea government (MEST) (No. ROA-2008-000-20010-0).

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Kim, M.H., Lee, G.M. On efficient applications of G-Karush-Kuhn-Tucker necessary optimality theorems to multiobjective programming problems. J Glob Optim 55, 5–11 (2013). https://doi.org/10.1007/s10898-012-9949-5

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  • DOI: https://doi.org/10.1007/s10898-012-9949-5

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