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Lagrange multiplier theorem of multiobjective programming problems with set functions

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Abstract

In this paper, Lagrange multiplier theorems are developed for the cases of single-objective and multiobjective programming problems with set functions. Properly efficient solutions are also characterized by subdifferentials and zero-like functions.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Alabama, Tuscaloosa, Alabama

    W. S. Hsia (Professor) & T. Y. Lee (Associate Professor)

  2. Department of Mathematics Education, Kangweon National University, Kangweon, Korea

    J. Y. Lee (Assistant Professor)

Authors
  1. W. S. Hsia
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  2. T. Y. Lee
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  3. J. Y. Lee
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Additional information

Communicated by B. R. Agins

The authors greatly appreciate helpful and valuable comments and suggestions received from the referee.

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Hsia, W.S., Lee, T.Y. & Lee, J.Y. Lagrange multiplier theorem of multiobjective programming problems with set functions. J Optim Theory Appl 70, 137–155 (1991). https://doi.org/10.1007/BF00940508

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  • DOI: https://doi.org/10.1007/BF00940508

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