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Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization

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Abstract

In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric vector optimization problem. These formulae are presented in a broad class of conventional vector optimization problems with the presence of geometric, operator and (finite and infinite) functional constraints.

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Acknowledgments

The authors would like to thank the referees for valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics and Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Ho Chi Minh City, Vietnam

    Thai Doan Chuong

  2. Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, 807, Taiwan

    Jen-Chih Yao

  3. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan

    Jen-Chih Yao

Authors
  1. Thai Doan Chuong
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  2. Jen-Chih Yao
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Correspondence to Jen-Chih Yao.

Additional information

This work was supported by the National Foundation for Science and Technology Development of Vietnam (NAFOSTED) and the Grant NSC 99-2221-E-037-007-MY3.

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Chuong, T.D., Yao, JC. Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization. J Glob Optim 57, 1229–1243 (2013). https://doi.org/10.1007/s10898-012-0025-y

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