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Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints

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Abstract

In this paper, we are concerned with a set-valued fractional extremal programming problem under inclusion constraints. Our approach consists of using the extremal principle (an approach initiated by Mordukhovich, which does not involve any convex approximations and convex separation arguments) for the study of necessary optimality conditions.

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Authors and Affiliations

  1. Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, B.P. 5605, Sidi Brahim, Fes, Morocco

    N. Gadhi & A. Jawhar

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  1. N. Gadhi
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  2. A. Jawhar
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Correspondence to N. Gadhi.

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Gadhi, N., Jawhar, A. Necessary optimality conditions for a set-valued fractional extremal programming problem under inclusion constraints. J Glob Optim 56, 489–501 (2013). https://doi.org/10.1007/s10898-012-9849-8

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  • DOI: https://doi.org/10.1007/s10898-012-9849-8

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