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On uniqueness of Kuhn-Tucker multipliers in nonlinear programming

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Abstract

Recently Fujiwara, Han and Mangasarian introduced a new constraint qualification which is a slight tightening of the well-known Mangasarian—Fromovitz constraint qualification. We show that this new qualification is a necessary and sufficient condition for the uniqueness of Kuhn—Tucker multipliers. We also show that it implies the satisfaction of second order necessary optimality conditions at a local minimum.

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Authors and Affiliations

  1. Department of Decision Sciences, Florida International University, 33199, Miami, FL, USA

    Jerzy Kyparisis

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  1. Jerzy Kyparisis
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Kyparisis, J. On uniqueness of Kuhn-Tucker multipliers in nonlinear programming. Mathematical Programming 32, 242–246 (1985). https://doi.org/10.1007/BF01586095

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  • DOI: https://doi.org/10.1007/BF01586095

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