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

Issoufou Kouada

Mathematical Methods of Operations Research, 1997, vol. 46, issue 2, 169-192

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

Keywords: Multifunction; semi-continuity; convexity; cone-concavity; recession cone; primal problem; dual problem; cone-maximal solution; cone-minimal solution (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/BF01217689

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