Quantitative Stability Analysis of Stochastic Generalized Equations
We consider the solution of a system of stochastic generalized equations (SGE) where the underlying functions are mathematical expectation of random set-valued mappings. SGE has many applications such as characterizing optimality conditions of a nonsmooth stochastic optimization problem or equilibri...
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| Veröffentlicht in: | SIAM journal on optimization Jg. 24; H. 1; S. 467 - 497 |
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| Sprache: | Englisch |
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Society for Industrial and Applied Mathematics
01.01.2014
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| Abstract | We consider the solution of a system of stochastic generalized equations (SGE) where the underlying functions are mathematical expectation of random set-valued mappings. SGE has many applications such as characterizing optimality conditions of a nonsmooth stochastic optimization problem or equilibrium conditions of a stochastic equilibrium problem. We derive quantitative continuity of expected value of the set-valued mapping with respect to the variation of the underlying probability measure in a metric space. This leads to the subsequent qualitative and quantitative stability analysis of solution set mappings of the SGE. Under some metric regularity conditions, we derive Aubin's property of the solution set mapping with respect to the change of probability measure. The established results are applied to stability analysis of stochastic variational inequality, stationary points of classical one-stage and two-stage stochastic minimization problems, two-stage stochastic mathematical programs with equilibrium constraints, and stochastic programs with second order dominance constraints. [PUBLICATION ABSTRACT] |
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| AbstractList | We consider the solution of a system of stochastic generalized equations (SGE) where the underlying functions are mathematical expectation of random set-valued mappings. SGE has many applications such as characterizing optimality conditions of a nonsmooth stochastic optimization problem or equilibrium conditions of a stochastic equilibrium problem. We derive quantitative continuity of expected value of the set-valued mapping with respect to the variation of the underlying probability measure in a metric space. This leads to the subsequent qualitative and quantitative stability analysis of solution set mappings of the SGE. Under some metric regularity conditions, we derive Aubin's property of the solution set mapping with respect to the change of probability measure. The established results are applied to stability analysis of stochastic variational inequality, stationary points of classical one-stage and two-stage stochastic minimization problems, two-stage stochastic mathematical programs with equilibrium constraints, and stochastic programs with second order dominance constraints. [PUBLICATION ABSTRACT] We consider the solution of a system of stochastic generalized equations (SGE) where the underlying functions are mathematical expectation of random set-valued mappings. SGE has many applications such as characterizing optimality conditions of a nonsmooth stochastic optimization problem or equilibrium conditions of a stochastic equilibrium problem. We derive quantitative continuity of expected value of the set-valued mapping with respect to the variation of the underlying probability measure in a metric space. This leads to the subsequent qualitative and quantitative stability analysis of solution set mappings of the SGE. Under some metric regularity conditions, we derive Aubin's property of the solution set mapping with respect to the change of probability measure. The established results are applied to stability analysis of stochastic variational inequality, stationary points of classical one-stage and two-stage stochastic minimization problems, two-stage stochastic mathematical programs with equilibrium constraints, and stochastic programs with second order dominance constraints. |
| Author | Xu, Huifu Römisch, Werner Liu, Yongchao |
| Author_xml | – sequence: 1 givenname: Yongchao surname: Liu fullname: Liu, Yongchao – sequence: 2 givenname: Werner surname: Römisch fullname: Römisch, Werner – sequence: 3 givenname: Huifu surname: Xu fullname: Xu, Huifu |
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| CitedBy_id | crossref_primary_10_1080_01630563_2019_1639729 crossref_primary_10_1137_17M1162822 crossref_primary_10_1142_S0217595920500566 crossref_primary_10_1137_24M165884X crossref_primary_10_1155_2018_8680540 crossref_primary_10_1007_s10957_019_01550_7 crossref_primary_10_1016_j_ejor_2020_10_026 crossref_primary_10_1007_s10107_023_01925_9 crossref_primary_10_3390_math11183885 crossref_primary_10_1007_s00186_016_0532_6 crossref_primary_10_1007_s00186_016_0537_1 crossref_primary_10_1007_s10107_017_1116_9 |
| Cites_doi | 10.1137/S1052623402420528 10.1090/S0002-9947-1965-0180884-9 10.1007/BF01581199 10.1287/moor.1110.0506 10.1137/1128025 10.1137/100792644 10.1142/S0217595910002569 10.1007/s10107-012-0586-z 10.1016/0047-259X(85)90078-8 10.1007/BFb0121218 10.1007/s10107-013-0711-7 10.1016/0022-247X(65)90049-1 10.1137/1016053 10.1007/s10107-003-0453-z 10.1090/S0002-9947-02-03088-X 10.1016/0165-0114(94)90120-1 10.1137/1112027 10.1287/moor.1050.0160 10.2140/pjm.1969.28.465 10.1090/S0002-9947-1985-0800254-X 10.1016/j.jmaa.2010.03.021 10.1287/moor.27.4.792.304 10.1007/s10107-012-0585-0 10.1137/110825248 10.1016/0047-259X(88)90041-3 10.1080/02331930801954177 10.1287/moor.1.2.130 10.1137/040608544 |
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| References | atypb9 atypb8 Robinson S. M. (atypb33) 1983 atypb19 atypb48 atypb27 atypb29 atypb22 atypb44 atypb45 atypb46 Dentcheva D. (atypb13) 2007; 36 atypb47 atypb40 atypb41 atypb20 atypb42 atypb21 atypb43 Hess C. (atypb17) 2002 Shapiro A. (atypb37) 2003 Römisch W. (atypb36) 2003 atypb39 atypb18 atypb11 atypb12 atypb14 atypb1 Liu Y. (atypb23) 2011; 21 atypb30 atypb3 atypb31 atypb32 atypb5 |
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| SubjectTerms | Applied mathematics Approximation Continuity Dominance Equilibrium Expected values Functions (mathematics) Mapping Mathematical analysis Optimization Stability analysis Stochasticity |
| Title | Quantitative Stability Analysis of Stochastic Generalized Equations |
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