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SOME PROPERTIES OF OPTIMAL MULTIFUNCTIONS IN PARAMETRIC MULTIOBJECTIVE OPTIMIZATION WITH SET-VALUED MAPS

Mao Q. Li and Bruce D. Craven ()
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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

Asia-Pacific Journal of Operational Research (APJOR), 2004, vol. 21, issue 01, 1-8

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.

Keywords: Parametric multiobjective optimization; optimal multifunction; Lipschitz multifunction; lower and upper semicontinuities (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0217595904000035

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