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Necessary conditions for super minimizers in constrained multiobjective optimization

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Abstract

This paper concerns the study of the so-called super minimizers related to the concept of super efficiency in constrained problems of multiobjective optimization, where cost mappings are generally set-valued. We derive necessary conditions for super minimizers on the base of advanced tools of variational analysis and generalized differentiation that are new in both finite-dimensional and infinite-dimensional settings for problems with single-valued and set-valued objectives.

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Authors and Affiliations

  1. Department of Mathematics, Wayne State University, Detroit, MI, 48202, USA

    Truong Q. Bao & Boris S. Mordukhovich

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  1. Truong Q. Bao
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  2. Boris S. Mordukhovich
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Correspondence to Boris S. Mordukhovich.

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Bao, T.Q., Mordukhovich, B.S. Necessary conditions for super minimizers in constrained multiobjective optimization. J Glob Optim 43, 533–552 (2009). https://doi.org/10.1007/s10898-008-9336-4

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