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Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization

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  • Issoufou Kouada

Abstract

Following a few words on multifunctions in the mathematical literature, a very brief recall on dual spaces, some preliminary notations and definitions in the introduction, we give some results on those functions in the second paragraph. In the third paragraph, a duality theory in cone-optimization involving multifunctions is developed with the concept of the strong instead of the weak cone-optimality criterium. The results so obtained account for existing ones on univocal vector-function optimization and they hold in spaces of arbitrary dimension. Copyright Physica-Verlag 1997

Suggested Citation

  • Issoufou Kouada, 1997. "Upper-semi-continuity and cone-concavity of multi-valued vector functions in a duality theory for vector optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 46(2), pages 169-192, June.
    • Handle: RePEc:spr:mathme:v:46:y:1997:i:2:p:169-192
    DOI: 10.1007/BF01217689
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