期刊
MATHEMATICAL PROGRAMMING
卷 158, 期 1-2, 页码 35-75出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10107-015-0914-1
关键词
Mathematical programs with disjunctive constraints; Stationarity; Metric subregularity; Variational analysis; Upper Lipschitz stability; Upper Holder stability
类别
资金
- Austrian Science Fund (FWF) [P26132-N25]
- Austrian Science Fund (FWF) [P26132] Funding Source: Austrian Science Fund (FWF)
- Austrian Science Fund (FWF) [P 26132] Funding Source: researchfish
This paper studies stability aspects of solutions of parametric mathematical programs and generalized equations, respectively, with disjunctive constraints. We present sufficient conditions that, under some constraint qualifications ensuring metric subregularity of the constraint mapping, continuity results of upper Lipschitz and upper Holder type, respectively, hold. Furthermore, we apply the above results to parametric mathematical programs with equilibrium constraints and demonstrate, how some classical results for the nonlinear programming problem can be recovered and even improved by our theory.
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