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Volumn 18, Issue 9-10, 1997, Pages 1023-1039

On Sard's theorem for nonsmooth functions

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; THEOREM PROVING; VECTORS;

EID: 0031273277     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569708816807     Document Type: Article
Times cited : (2)

References (20)
  • 6
    • 0000726967 scopus 로고
    • On linearization and continuous selection of functions
    • H. Th. Jongen/D. Pallaschke, On linearization and continuous selection of functions, Optimization 19 (1988) 3, 343-353
    • (1988) Optimization , vol.19 , Issue.3 , pp. 343-353
    • Jongen, H.Th.1    Pallaschke, D.2
  • 9
    • 4444263329 scopus 로고
    • On functions representable as a difference of two convex functions
    • in russian
    • E. Landis, On functions representable as a difference of two convex functions, Dokl. Akad. Nauk. 80 (1951) 3, 9-11 (in russian)
    • (1951) Dokl. Akad. Nauk. , vol.80 , Issue.3 , pp. 9-11
    • Landis, E.1
  • 10
    • 0026627404 scopus 로고
    • Sensitivity analysis in nonsmooth optimization
    • "Theoretical Aspects of Industrial Design" (D. A. Field, V. Kornkov, eds.), SIAM Publications
    • B. S. Mordukhovich, Sensitivity analysis in nonsmooth optimization, in "Theoretical Aspects of Industrial Design" (D. A. Field, V. Kornkov, eds.), SIAM Publications, Proceedings in Applied Mathematics, 58, (1992), 32-46.
    • (1992) Proceedings in Applied Mathematics , vol.58 , pp. 32-46
    • Mordukhovich, B.S.1
  • 11
    • 0002076296 scopus 로고
    • Sur une propriété métrique de la dimension
    • L. Pontrjagin/ L. Schnirelmann, Sur une propriété métrique de la dimension, Annals of Mathematics 33 (1932), 156-162;
    • (1932) Annals of Mathematics , vol.33 , pp. 156-162
    • Pontrjagin, L.1    Schnirelmann, L.2
  • 12
    • 38149147850 scopus 로고
    • On the ε-entropy of nearly critical values
    • A. Rohde, On the ε-entropy of nearly critical values, Journal of Approximation Theory 76 (1994) 2, 166-176
    • (1994) Journal of Approximation Theory , vol.76 , Issue.2 , pp. 166-176
    • Rohde, A.1
  • 13
    • 5244373416 scopus 로고
    • On the density of the nearly critical values of continuous selections and maximum functions
    • to appear Havana 1994, (M. Florenzano, J. Guddat, M. Jimenez, H. Th. Jongen, G. Lopez Lagomasino, F. Marcellan Eds.), Peter Lang Verlag, Frankfurt
    • A. Rohde, On the density of the nearly critical values of continuous selections and maximum functions, to appear in: Approximation and Optimization in the Carribean II, Havana 1994, (M. Florenzano, J. Guddat, M. Jimenez, H. Th. Jongen, G. Lopez Lagomasino, F. Marcellan Eds.), 582-594, Peter Lang Verlag, Frankfurt, 1995;
    • (1995) Approximation and Optimization in the Carribean II , pp. 582-594
    • Rohde, A.1
  • 15
    • 0001146482 scopus 로고
    • An infinite dimensional version of Sard's theorem
    • S. Smale, An infinite dimensional version of Sard's theorem, Am. J. Math. 87 (1965), 861-866
    • (1965) Am. J. Math. , vol.87 , pp. 861-866
    • Smale, S.1
  • 16
    • 5244371359 scopus 로고
    • Integration of the Jacobian of a locally Lipschitzian function
    • Montpellier exposé 2
    • J. Saint-Pierre/T. X. D. Ha, Integration of the Jacobian of a locally Lipschitzian function, Seminaire d'analyse convexe, Montpellier 1989, exposé 2
    • (1989) Seminaire d'Analyse Convexe
    • Saint-Pierre, J.1    Ha, T.X.D.2
  • 17
    • 0002954653 scopus 로고
    • Subdifferentials of compactly Lipschitzian vector-valued functions
    • L. Thibault, Subdifferentials of compactly Lipschitzian vector-valued functions, Annali di Mathematica pura ed applicata (IV), 125 (1980), 157-192.
    • (1980) Annali di Mathematica Pura ed Applicata (IV) , vol.125 , pp. 157-192
    • Thibault, L.1
  • 18
    • 0000289339 scopus 로고
    • The geometry of critical and near-critical values of differentiable mappings
    • Y. Yomdin, The geometry of critical and near-critical values of differentiable mappings, Math. Ann. 264 (1983), 495-515.
    • (1983) Math. Ann. , vol.264 , pp. 495-515
    • Yomdin, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.