On alternative theorems and necessary conditions for efficiency

Do Van Luu () and Manh Hung Nguyen
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Do Van Luu: Institut de Mathématiques [Hanoi] - Académie des Sciences et Techniques

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Abstract: In this paper, we establish theorems of the alternative for a system described by inequalities, equalities and an inclusion, which are generalizations of Tucker's classical theorem of the alternative, and develop Kuhn-Tucker necessary conditions for efficiency to mathematical programs in normed spaces involving inequality, equality and set constraints with positive Lagrange multipliers of all the components of objective functions.

Keywords: Theorem of the alternative; constraint qualification; Kuhn-Tucker necessary condition (search for similar items in EconPapers)
Date: 2006-03
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00112454
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Published in 2006

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Related works:
Working Paper: On alternative theorems and necessary conditions for efficiency (2006)
Working Paper: On alternative theorems and necessary conditions for efficiency (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00112454

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