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Upper and Lower Semicontinuity for Set-Valued Mappings Involving Constraints

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  • E. Muselli

    (University of Genova)

Abstract

In vector optimization, several authors have studied the upper and lower semicontinuity for mappings involving constraints in topological vector spaces partially ordered through a cone with nonempty interior. In this paper, we give conditions about the upper and lower semicontinuity in the case that the ordering cone in the parameter space has possibly empty interior, as it happens in many function spaces and seqence spaces.

Suggested Citation

  • E. Muselli, 2000. "Upper and Lower Semicontinuity for Set-Valued Mappings Involving Constraints," Journal of Optimization Theory and Applications, Springer, vol. 106(3), pages 527-550, September.
    • Handle: RePEc:spr:joptap:v:106:y:2000:i:3:d:10.1023_a:1004653312019
    DOI: 10.1023/A:1004653312019
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    References listed on IDEAS

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    1. Harvey J. Greenberg & William P. Pierskalla, 1972. "Extensions of the Evans-Gould Stability Theorems for Mathematical Programs," Operations Research, INFORMS, vol. 20(1), pages 143-153, February.
    2. J. P. Evans & F. J. Gould, 1970. "Stability in Nonlinear Programming," Operations Research, INFORMS, vol. 18(1), pages 107-118, February.
    3. Z. F. Li, 1998. "Benson Proper Efficiency in the Vector Optimization of Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 623-649, September.
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    Cited by:

    1. X. H. Gong, 2008. "Continuity of the Solution Set to Parametric Weak Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 139(1), pages 35-46, October.

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