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Stability of semi-infinite vector optimization problems under functional perturbations

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Abstract

This paper is devoted to the study of continuity properties of Pareto solution maps for parametric semi-infinite vector optimization problems (PSVO). We establish new necessary conditions for lower and upper semicontinuity of Pareto solution maps under functional perturbations of both objective functions and constraint sets. We also show that the necessary condition becomes sufficient for the lower and upper semicontinuous properties in the special case where the constraint set mapping is lower semicontinuous at the reference point. Examples are given to illustrate the obtained results.

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Authors and Affiliations

  1. Department of Mathematics, Dong Thap University of Pedagogy, Cao Lanh, Dong Thap, Vietnam

    T. D. Chuong

  2. Department of Mathematics, Hanoi Pedagogical University No. 2, Phuc Yen, Vinh Phuc, Vietnam

    N. Q. Huy

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

    J. C. Yao

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  1. T. D. Chuong
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  2. N. Q. Huy
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  3. J. C. Yao
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Correspondence to J. C. Yao.

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Chuong, T.D., Huy, N.Q. & Yao, J.C. Stability of semi-infinite vector optimization problems under functional perturbations. J Glob Optim 45, 583–595 (2009). https://doi.org/10.1007/s10898-008-9391-x

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  • DOI: https://doi.org/10.1007/s10898-008-9391-x

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