{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T02:06:17Z","timestamp":1767924377680,"version":"3.49.0"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[2007,7,12]],"date-time":"2007-07-12T00:00:00Z","timestamp":1184198400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1007\/s10898-007-9192-7","type":"journal-article","created":{"date-parts":[[2007,7,17]],"date-time":"2007-07-17T02:41:09Z","timestamp":1184640069000},"page":"405-415","source":"Crossref","is-referenced-by-count":16,"title":["Solution continuity in variational conditions"],"prefix":"10.1007","volume":"40","author":[{"given":"Stephen M.","family":"Robinson","sequence":"first","affiliation":[]},{"given":"Shu","family":"Lu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,7,12]]},"reference":[{"key":"9192_CR1","volume-title":"Op\u00e9rateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. No. 5 in North-Holland Mathematics Studies","author":"H. Br\u00e9zis","year":"1973","unstructured":"Br\u00e9zis H. (1973). Op\u00e9rateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. No. 5 in North-Holland Mathematics Studies. North-Holland, Amsterdam"},{"key":"9192_CR2","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1137\/S1052623495290179","volume":"7","author":"G.H.G. Chen","year":"1997","unstructured":"Chen G.H.G. and Rockafellar R.T. (1997). Convergence rates in forward-backward splitting. SIAM J. Optim. 7: 421\u2013444","journal-title":"SIAM J. Optim."},{"key":"9192_CR3","doi-asserted-by":"crossref","first-page":"1087","DOI":"10.1137\/S1052623495284029","volume":"6","author":"A.L. Dontchev","year":"1996","unstructured":"Dontchev A.L. and Rockafellar R.T. (1996). Characterizations of strong regularity for variational inequalities over polyhedral convex sets. SIAM J. Optim. 6: 1087\u20131105","journal-title":"SIAM J. Optim."},{"key":"9192_CR4","doi-asserted-by":"crossref","unstructured":"Facchinei, F., Pang, J.S.: Finite-dimensional variational inequalities and complementarity problems. Springer Series in Operations Research. Springer-Verlag, New York (2003). Published in two volumes, paginated continuously","DOI":"10.1007\/b97543"},{"key":"9192_CR5","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1137\/S036301299222723X","volume":"32","author":"W. Li","year":"1994","unstructured":"Li W. (1994). Sharp Lipschitz constants for basic optimal solutions and basic feasible solutions of linear programs. SIAM J. Control Optim. 32: 140\u2013153","journal-title":"SIAM J. Control Optim."},{"key":"9192_CR6","doi-asserted-by":"crossref","unstructured":"Lu, S.: Sensitivity of static traffic equilibria with perturbations in arc cost and travel demand. Transport. Sci. (Forthcoming)","DOI":"10.1287\/trsc.1070.0191"},{"key":"9192_CR7","doi-asserted-by":"crossref","unstructured":"Lu, S., Robinson, S.M.: Variational inequalities over perturbed polyhedral convex sets. Preprint 2007, submitted for publication","DOI":"10.1287\/moor.1070.0297"},{"key":"9192_CR8","unstructured":"Pang, J.S.: Private communication to the authors (2006)"},{"key":"9192_CR9","unstructured":"Robinson, S.M.: Solution continuity in monotone affine variational inequalities. SIAM J. Optim. (Forthcoming)"},{"key":"9192_CR10","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1007\/BFb0120929","volume":"14","author":"S.M. Robinson","year":"1981","unstructured":"Robinson S.M. (1981). Some continuity properties of polyhedral multifunctions. Math. Program. Stud. 14: 206\u2013214","journal-title":"Math. Program. Stud."},{"key":"9192_CR11","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1007\/BFb0120989","volume":"19","author":"S.M. Robinson","year":"1982","unstructured":"Robinson S.M. (1982). Generalized equations and their solutions, Part II: applications to nonlinear programming. Math. Program. Stud. 19: 200\u2013221","journal-title":"Math. Program. Stud."},{"key":"9192_CR12","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1287\/moor.28.2.201.14480","volume":"28","author":"S.M. Robinson","year":"2003","unstructured":"Robinson S.M. (2003). Constraint nondegeneracy in variational analysis. Math. Oper. Res. 28: 201\u2013232","journal-title":"Math. Oper. Res."},{"key":"9192_CR13","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s10107-003-0443-1","volume":"97","author":"S.M. Robinson","year":"2003","unstructured":"Robinson S.M. (2003). Variational conditions with smooth constraints: structure and analysis. Math. Program. 97: 245\u2013265","journal-title":"Math. Program."},{"key":"9192_CR14","doi-asserted-by":"crossref","unstructured":"Robinson, S.M.: Localized normal maps and the stability of variational conditions. Set-Valued Anal. 12, 259\u2013274 (2004).Errata, Set-Valued Anal. 14, 207(2006)","DOI":"10.1007\/s11228-005-0012-2"},{"key":"9192_CR15","doi-asserted-by":"crossref","first-page":"540","DOI":"10.1287\/trsc.1060.0162","volume":"40","author":"S.M. Robinson","year":"2006","unstructured":"Robinson S.M. (2006). Strong regularity and the sensitivity analysis of transportation equilibria: a comment. Transport. Sci. 40: 540\u2013542","journal-title":"Transport. Sci."},{"key":"9192_CR16","volume-title":"Variational analysis. No. 317 in Grundlehren der mathematischen Wissenschaften","author":"R.T Rockafellar","year":"1998","unstructured":"Rockafellar R.T and Wets R.J. (1998). Variational analysis. No. 317 in Grundlehren der mathematischen Wissenschaften. Springer-Verlag, Berlin."},{"key":"9192_CR17","doi-asserted-by":"crossref","first-page":"628","DOI":"10.1137\/0326037","volume":"26","author":"A. Shapiro","year":"1988","unstructured":"Shapiro A. (1988). Sensitivity analysis of nonlinear programs and differentiability properties of metric projections. SIAM J. Control Optim. 26: 628\u2013645","journal-title":"SIAM J. Control Optim."},{"key":"9192_CR18","doi-asserted-by":"crossref","first-page":"695","DOI":"10.1287\/moor.20.3.695","volume":"20","author":"N.D. Yen","year":"1995","unstructured":"Yen N.D. (1995). Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Math. Oper. Res. 20: 695\u2013708","journal-title":"Math. Oper. Res."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9192-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-007-9192-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-007-9192-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,13]],"date-time":"2023-05-13T11:35:33Z","timestamp":1683977733000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-007-9192-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,12]]},"references-count":18,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["9192"],"URL":"https:\/\/doi.org\/10.1007\/s10898-007-9192-7","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,7,12]]}}}