{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,28]],"date-time":"2024-08-28T09:45:10Z","timestamp":1724838310409},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1996,9,1]],"date-time":"1996-09-01T00:00:00Z","timestamp":841536000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1996,9]]},"DOI":"10.1007\/bf02592199","type":"journal-article","created":{"date-parts":[[2007,5,1]],"date-time":"2007-05-01T04:18:08Z","timestamp":1177993088000},"page":"267-278","source":"Crossref","is-referenced-by-count":4,"title":["On the Lipschitzian properties of polyhedral multifunctions"],"prefix":"10.1007","volume":"74","author":[{"given":"M.","family":"Seetharama Gowda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Roman","family":"Sznajder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02592199_CR1","volume-title":"Set-valued Analysis","author":"J.-P. Aubin","year":"1990","unstructured":"J.-P. Aubin and H. Frankowska,Set-valued Analysis (Birkh\u00e4user, Boston, MA, 1990)."},{"key":"BF02592199_CR2","volume-title":"The Linear Complementarity Problem","author":"R.W. Cottle","year":"1992","unstructured":"R.W. Cottle, J.-S. Pang and R.E. Stone,The Linear Complementarity Problem (Academic Press, Boston, MA, 1992)."},{"key":"BF02592199_CR3","series-title":"Research Report","volume-title":"Characterizations of strong regularity for variational inequalities over polyhedral convex sets","author":"A. Dontchev","year":"1995","unstructured":"A. Dontchev and R.T. Rockafellar, \u201cCharacterizations of strong regularity for variational inequalities over polyhedral convex sets,\u201d Research Report, Mathematical Reviews, Ann Arbor, MI 48 107 1995."},{"key":"BF02592199_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0024-3795(90)90052-E","volume":"132","author":"B.C. Eaves","year":"1990","unstructured":"B.C. Eaves and U.G. Rothblum, \u201cRelationships of properties of piecewise affine maps overs ordered fields,\u201dLinear Algebra and its Applications 132 (1990) 1\u201363.","journal-title":"Linear Algebra and its Applications"},{"key":"BF02592199_CR5","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1137\/0122030","volume":"22","author":"T. Fujisawa","year":"1972","unstructured":"T. Fujisawa and E.S. Kuh, \u201cPiecewise linear theory of nonlinear networks,\u201dSIAM Journal on Applied Mathematics 22 (1972) 307\u2013328.","journal-title":"SIAM Journal on Applied Mathematics"},{"key":"BF02592199_CR6","doi-asserted-by":"crossref","first-page":"619","DOI":"10.1137\/0802030","volume":"2","author":"M.S. Gowda","year":"1992","unstructured":"M.S. Gowda, \u201cOn the continuity of the solution map in linear complementarity problems,\u201dSIAM Journal on Optimization 2 (1992) 619\u2013634.","journal-title":"SIAM Journal on Optimization"},{"key":"BF02592199_CR7","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1137\/S0895479894278940","volume":"17","author":"M.S. Gowda","year":"1996","unstructured":"M.S. Gowda, \u201cAn analysis of zero set and global error bound properties of a piecewise affine function via its recession function,\u201dSIAM Journal on Matrix Analysis and Applications 17 (1996) 594\u2013609.","journal-title":"SIAM Journal on Matrix Analysis and Applications"},{"key":"BF02592199_CR8","unstructured":"M.S. Gowda and R. Sznajder, \u201cOn the pseudo-Lipschitzian behavior of the inverse of a piecewise affine function,\u201dProceedings of International Conference on Complementarity Problems (Baltimore, November 1\u20134, 1995), to appear."},{"key":"BF02592199_CR9","volume-title":"Dimension Theory","author":"W. Hurewicz","year":"1948","unstructured":"W. Hurewicz and H. Wallman,Dimension Theory (Princeton University Press, Princeton, NJ, 1948)."},{"key":"BF02592199_CR10","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/0024-3795(87)90339-9","volume":"96","author":"D. Kuhn","year":"1987","unstructured":"D. Kuhn and R. L\u00f6wen, \u201cPiecewise affine bijections ofR n and the equationSx + \u2212Tx \u2212=y,\u201dLinear Algebra and its Applications 96 (1987) 109\u2013129.","journal-title":"Linear Algebra and its Applications"},{"key":"BF02592199_CR11","unstructured":"X.-D. Luo and P. Tseng, \u201cConditions for a projection-type error bound for the linear complementarity problem to be global,\u201dMathematical Programming, to appear."},{"key":"BF02592199_CR12","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/0167-6377(92)90080-M","volume":"11","author":"Z.-Q. Luo","year":"1992","unstructured":"Z.-Q. Luo and P. Tseng, \u201cOn the global error bound for a class of monotone affine variational inequality problems,\u201dOperations Research Letters 11 (1992) 159\u2013165.","journal-title":"Operations Research Letters"},{"key":"BF02592199_CR13","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1137\/0325033","volume":"25","author":"O.L. Mangasarian","year":"1987","unstructured":"O.L. Mangasarian and T.-H. Shiau, \u201cLipschitz continuity of solutions of linear inequalities, programs and complementarity problems,\u201dSIAM Journal on Control and Optimization 25 (1987) 583\u2013595.","journal-title":"SIAM Journal on Control and Optimization"},{"key":"BF02592199_CR14","first-page":"55","volume":"74","author":"G.S.R. Murthy","year":"1996","unstructured":"G.S.R. Murthy, T. Parthasarathy, and M. Sabatini, \u201cLipschitzianQ-matrices areP-matrices,\u201dMathematical Programming 74 (1996) 55\u201358.","journal-title":"Mathematical Programming"},{"key":"BF02592199_CR15","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/0024-3795(93)90344-N","volume":"178","author":"D. Ralph","year":"1993","unstructured":"D. Ralph, \u201cA new proof of Robinson's homeomorphism theorem for pl-normal maps,\u201dLinear Algebra and its Applications 178 (1993) 249\u2013260.","journal-title":"Linear Algebra and its Applications"},{"key":"BF02592199_CR16","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1007\/BFb0120929","volume":"14","author":"S.M. Robinson","year":"1981","unstructured":"S.M. Robinson, \u201cSome continuity properties of polyhedral multifunctions,\u201dMathematical Programming Study 14 (1981) 206\u2013214.","journal-title":"Mathematical Programming Study"},{"key":"BF02592199_CR17","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1287\/moor.17.3.691","volume":"17","author":"S. Robinson","year":"1992","unstructured":"S. Robinson, \u201cNormal maps induced by linear transformations,\u201dMathematics of Operations Research 17 (1992) 691\u2013714.","journal-title":"Mathematics of Operations Research"},{"key":"BF02592199_CR18","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"R.T. Rockafellar,Convex Analysis (Princeton University Press, Princeton, NJ, 1970)."},{"key":"BF02592199_CR19","volume-title":"Introduction to piecewise differentiable equations","author":"S. Scholtes","year":"1994","unstructured":"S. Scholtes, \u201cIntroduction to piecewise differentiable equations,\u201d Preprint 53\/1994, Institut f\u00fcr Statistik und Mathematische Wirtschaftstheorie, Universit\u00e4t Karlsruhe, 7500 Karlsruhe, Germany, 1994."},{"key":"BF02592199_CR20","series-title":"Research Report","volume-title":"Homeomorphism conditions for coherently oriented piecewise affine mappings","author":"S. Scholtes","year":"1994","unstructured":"S. Scholtes, \u201cHomeomorphism conditions for coherently oriented piecewise affine mappings,\u201d Research Report, Institut f\u00fcr Statistik und Mathematische Wirtschaftstheorie, Universit\u00e4t Karlsruhe, 7500 Karlsruhe, Germany, 1994."},{"key":"BF02592199_CR21","doi-asserted-by":"crossref","unstructured":"S. Scholtes, \u201cA proof of the branching number bound for normal manifolds,\u201dLinear Algebra and its Applications, to appear.","DOI":"10.1016\/0024-3795(94)00337-8"},{"key":"BF02592199_CR22","unstructured":"R. Stone, Private communication, October 1994."},{"key":"BF02592199_CR23","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1090\/S0002-9939-1969-0246200-8","volume":"23","author":"D.W. Walkup","year":"1969","unstructured":"D.W. Walkup and R.J.-B. Wets, \u201cA Lipschitzian characterization of convex polyhedra,\u201dProceedings of the American Mathematical Society 23 (1969) 167\u2013173.","journal-title":"Proceedings of the American Mathematical Society"}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02592199.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02592199\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02592199","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T23:37:53Z","timestamp":1558395473000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02592199"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,9]]},"references-count":23,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1996,9]]}},"alternative-id":["BF02592199"],"URL":"https:\/\/doi.org\/10.1007\/bf02592199","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,9]]}}}