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Lower Semicontinuity of the Minimum in Parametric Convex Programs

Author

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  • D. Klatte

    (Universität Zürich)

Abstract

Recently, Best and Ding (Ref. 1) established a result on the lower semicontinuity of the infimum value function of a parametric convex quadratic program. In this paper, we extend this result to general convex programs. The case of semi-infinite convex optimization is included.

Suggested Citation

  • D. Klatte, 1997. "Lower Semicontinuity of the Minimum in Parametric Convex Programs," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 511-517, August.
    • Handle: RePEc:spr:joptap:v:94:y:1997:i:2:d:10.1023_a:1022652216355
    DOI: 10.1023/A:1022652216355
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    Cited by:

    1. Oliver Stein & Nathan Sudermann-Merx, 2014. "On smoothness properties of optimal value functions at the boundary of their domain under complete convexity," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 327-352, June.
    2. Hoang Phu & Vo Pho, 2010. "Global infimum of strictly convex quadratic functions with bounded perturbations," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(2), pages 327-345, October.
    3. H. X. Phu & V. M. Pho & P. T. An, 2011. "Maximizing Strictly Convex Quadratic Functions with Bounded Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 1-25, April.

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