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Fritz John Necessary Optimality Conditions of the Alternative-Type

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Abstract

An alternative-type version of the Fritz John optimality conditions is established at points not necessarily optimal, which covers situations where no result appearing elsewhere is applicable. As a by-product, a versatile formulation of these necessary Fritz John optimality conditions along with a simple proof is provided. This encompasses several versions appearing in the literature. A variant of the KKT conditions is also presented.

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Acknowledgements

This research was supported in part by CONICYT-Chile through FONDECYT 112-0980, BASAL Projects, CMM, Universidad de Chile, and MATH-AmSud 13math-01.

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  1. Departamento de Ingeniería Matemática, Universidad de Concepción, CI2MA, Casilla 160-C, Concepción, Chile

    Fabián Flores-Bazán

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  1. Fabián Flores-Bazán
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Correspondence to Fabián Flores-Bazán.

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Flores-Bazán, F. Fritz John Necessary Optimality Conditions of the Alternative-Type. J Optim Theory Appl 161, 807–818 (2014). https://doi.org/10.1007/s10957-013-0456-8

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  • DOI: https://doi.org/10.1007/s10957-013-0456-8

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