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First- and second-order optimality conditions for multiobjective fractional programming

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An Erratum to this article was published on 25 March 2015

Abstract

We consider nonsmooth multiobjective fractional programming on normed spaces. Using first- and second-order approximations as generalized derivatives, first- and second-order optimality conditions are established. Unlike the existing results, we avoid completely convexity assumptions. Our results can be applied even in infinite-dimensional cases, involving non-Lipschitz maps.

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Acknowledgments

This work was supported by National Foundation for Science and Technology Development (NAFOSTED). A part of it was completed when the authors stayed as research visitors at Vietnam Institute for Advanced Study in Mathematics (VIASM), whose hospitality is gratefully acknowledged. The second author is supported partially also by Cantho University. The authors are much indebted to the anonymous referees for their valuable remarks and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, International University, Vietnam National University Hochiminh City, Linh Trung, Thu Duc, Hochiminh City, Vietnam

    P. Q. Khanh

  2. Department of Mathematics, College of Natural Sciences, Cantho University, Cantho, Vietnam

    L. T. Tung

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  1. P. Q. Khanh
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  2. L. T. Tung
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Correspondence to L. T. Tung.

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Khanh, P.Q., Tung, L.T. First- and second-order optimality conditions for multiobjective fractional programming. TOP 23, 419–440 (2015). https://doi.org/10.1007/s11750-014-0347-7

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