Extensions of the Evans-Gould Stability Theorems for Mathematical Programs
Harvey J. Greenberg and
William P. Pierskalla
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Harvey J. Greenberg: Southern Methodist University, Dallas, Texas
William P. Pierskalla: Northwestern University, Evanston, Illinois
Operations Research, 1972, vol. 20, issue 1, 143-153
Abstract:
This paper extends the results of Evans and Gould for stability in mathematical programming. In particular, it shows that their conditions apply to functional perturbation, to equality constraints, and to policy stability under certain conditions. Further, it shows that strictly monotonic programs and positively homogeneous programs possess the closure property needed for stability. Finally, some necessary and sufficient conditions are presented for lower and upper semicontinuity of certain point-to-set mappings.
Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:20:y:1972:i:1:p:143-153
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