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Some Properties Of Optimal Multifunctions In Parametric Multiobjective Optimization With Set-Valued Maps

Author

Listed:
  • MAO Q. LI

    (Department of Mathematics, Taizhou University, Linhai, Zhejiang, China 317000, P. R. of China)

  • BRUCE D. CRAVEN

    (Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia)

Abstract

In this paper, we obtained results on the properties of Lipschitz, upper and lower semicontinuities of optimal multifunctions and optimal solution-set functions in parametric programming, where the objective and constrain functions are set-valued.

Suggested Citation

  • Mao Q. Li & Bruce D. Craven, 2004. "Some Properties Of Optimal Multifunctions In Parametric Multiobjective Optimization With Set-Valued Maps," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 1-8.
    • Handle: RePEc:wsi:apjorx:v:21:y:2004:i:01:n:s0217595904000035
    DOI: 10.1142/S0217595904000035
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