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Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization

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An Erratum to this article was published on 22 October 2011

Abstract

In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives.

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Authors and Affiliations

  1. College of Mathematics and Science, Chongqing University, 400044, Chongqing, China

    Q. L. Wang & S. J. Li

  2. College of Sciences, Chongqing Jiaotong University, 400074, Chongqing, China

    Q. L. Wang

  3. Department of Mathematics and Statistics, Curtin University of Technology, G.P.O. Box U1987, Perth, WA, 6845, Australia

    K. L. Teo

Authors
  1. Q. L. Wang
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  2. S. J. Li
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  3. K. L. Teo
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Correspondence to Q. L. Wang.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s11590-011-0387-y.

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Wang, Q.L., Li, S.J. & Teo, K.L. Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization. Optim Lett 4, 425–437 (2010). https://doi.org/10.1007/s11590-009-0170-5

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  • DOI: https://doi.org/10.1007/s11590-009-0170-5

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