Extensions of the Evans-Gould Stability Theorems for Mathematical Programs

Extensions of the Evans-Gould Stability Theorems for Mathematical Programs
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数学程序的埃文斯-古尔德稳定性定理的扩展

DOI：
10.1287/opre.20.1.143
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发表时间：
1972
期刊：
Oper. Res.
影响因子：
--
通讯作者：
W. Pierskalla
W. Pierskalla
中科院分区：
--
文献类型：
--
作者：
H. J. Greenberg;W. Pierskalla

文献摘要

被引文献

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本文推广了埃文斯和古尔德关于数学规划稳定性的结果。特别地，它表明它们的条件在一定条件下适用于函数摄动、等式约束和政策稳定性。进一步证明了严格单调程序和正齐次程序具有稳定所需的封闭性。最后，给出了某些点到集映射的上、下半连续的充要条件。
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.