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Stability for linearly constrained optimization problems |
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| Authors: | Hirabayashi R Jongen H Th Shida M |
| Institution: | (1) Department of Management Sciences, Science University of Tokyo, Kagurazaka 1-3, Shinjuku-ku, Tokyo, Japan;(2) RWTH Aachen, Lehrstuhl C für Mathematik, Templergraben 55, D-52062 Aachen, Germany;(3) Department of Systems Science, Tokyo Institute of Technology, Oh-okayama 2-12-1, Meguro-ku, Tokyo, Japan |
| 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.Corresponding author. |
| Keywords: | Stationary solution Weakly stable Pseudo-weakly stable Linear constraints |
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