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Generalized second-order contingent epiderivatives in parametric vector optimization problems

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Abstract

This paper is concerned with generalized second-order contingent epiderivatives of frontier and solution maps in parametric vector optimization problems. Under some mild conditions, we obtain some formulas for computing generalized second-order contingent epiderivatives of frontier and solution maps, respectively. We also give some examples to illustrate the corresponding results.

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Acknowledgments

The authors would like to thank the two anonymous reviewers for valuable comments and suggestions, which helped to improve the paper.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China

    Xiang-Kai Sun

  2. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

    Xiang-Kai Sun & Sheng-Jie Li

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  1. Xiang-Kai Sun
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  2. Sheng-Jie Li
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Correspondence to Xiang-Kai Sun.

Additional information

This research was partially supported by the National Natural Science Foundation of China (Grant Numbers: 11171362 and 11201509).

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Sun, XK., Li, SJ. Generalized second-order contingent epiderivatives in parametric vector optimization problems. J Glob Optim 58, 351–363 (2014). https://doi.org/10.1007/s10898-013-0054-1

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