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Stability for linearly constrained optimization problems

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Abstract

We deal with finite dimensional differentiable optimization problems under linear constraints. Stability of stationary solutions under restricted perturbations of the constraints will be characterized. The restriction on the constraint perturbations is given by means of a certain rank condition; in particular, righthandside perturbations are allowed.

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Authors and Affiliations

  1. Department of Management Sciences, Science University of Tokyo, Kagurazaka 1-3, Shinjuku-ku, Tokyo, Japan

    R. Hirabayashi

  2. RWTH Aachen, Lehrstuhl C für Mathematik, Templergraben 55, D-52062, Aachen, Germany

    H. Th. Jongen

  3. Department of Systems Science, Tokyo Institute of Technology, Oh-okayama 2-12-1, Meguro-ku, Tokyo, Japan

    M. Shida

Authors
  1. R. Hirabayashi
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  2. H. Th. Jongen
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  3. M. Shida
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Hirabayashi, R., Jongen, H.T. & Shida, M. Stability for linearly constrained optimization problems. Mathematical Programming 66, 351–360 (1994). https://doi.org/10.1007/BF01581154

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  • DOI: https://doi.org/10.1007/BF01581154

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