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Characterizations of efficiency in vector optimization with \(\mathcal {C}(T)\)-valued mappings

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Abstract

In this paper, under the assumption of pseudoconvexity, we present some characterizations of efficient solutions and weak efficient solutions for vector optimization problems with \(\mathcal {C}(T)\)-valued mappings by means of Clarke derivatives and subdifferentials. Our main results generalize the corresponding results in Winkler (SIAM J. Optim. 19:756–765, 2008) to nonconvex case.

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Acknowledgments

This work is partially supported by the National Natural Science Foundation of China (Grants 11301574, 11271391, 11171363), the Natural Science Foundation Project of Chongqing (Grant CSTC, 2012jjA00002) and the Research Fund for the Doctoral Program of Chongqing Normal University (Grant 13XLB029).

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Authors and Affiliations

  1. College of Mathematics, Chongqing Normal University, Chongqing , 401331, China

    Ke Quan Zhao & Xin Min Yang

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  1. Ke Quan Zhao
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  2. Xin Min Yang
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Correspondence to Ke Quan Zhao.

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Zhao, K.Q., Yang, X.M. Characterizations of efficiency in vector optimization with \(\mathcal {C}(T)\)-valued mappings. Optim Lett 9, 391–401 (2015). https://doi.org/10.1007/s11590-014-0753-7

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  • DOI: https://doi.org/10.1007/s11590-014-0753-7

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