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On equivalent stability properties in semi-infinite optimization

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Abstract

This paper studies noncompact feasible sets of a semi-infinite optimization problem which are defined by finitely many equality constraints and infinitely many inequality constraints. The main result is the equivalence of the overall validity of the Extended Mangasarian Fromovitz Constraint Qualification with certain (topological) stability conditions. Furthermore, two perturbation theorems being of independent interest are presented.

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Authors and Affiliations

  1. Department of Mathematics, University of Havana, San Lazaro y L, Vedado, Havana, Cuba

    Miguel A. Jiménez

  2. Department of Mathematics, Inst. f. Appl. Math., Humboldt-University Berlin, 10099, Berlin, Germany

    Jan -J. Rückmann

Authors
  1. Miguel A. Jiménez
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  2. Jan -J. Rückmann
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Additional information

This work was supported by the Deutsche Forschungsgemeinschaft under grant Gu 304/1-2.

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Jiménez, M.A., Rückmann, J.J. On equivalent stability properties in semi-infinite optimization. ZOR - Mathematical Methods of Operations Research 41, 175–190 (1995). https://doi.org/10.1007/BF01432654

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