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Volumn 5, Issue 1, 1997, Pages 89-105

A Derivative-Coderivative Inclusion in Second-Order Nonsmooth Analysis

Author keywords

Coderivatives; Generalized hessians; Graphical derivatives; Subgradient mappings

Indexed keywords


EID: 0039953139     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008662404582     Document Type: Article
Times cited : (17)

References (12)
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  • 2
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    • Poliquin, R.A.1    Rockafellar, R.T.2
  • 3
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    • Amenable functions in optimization
    • F. Giannessi (ed.), Gordon and Breach, Philadelphia
    • Poliquin, R. A. and Rockafellar, R. T.: Amenable functions in optimization, in: F. Giannessi (ed.), Nonsmooth Optimization Methods and Applications, Gordon and Breach, Philadelphia, 1992, pp. 338-353.
    • (1992) Nonsmooth Optimization Methods and Applications , pp. 338-353
    • Poliquin, R.A.1    Rockafellar, R.T.2
  • 4
    • 84966228167 scopus 로고
    • First- and second-order epi-differentiability in nonlinear programming
    • Rockafellar, R. T.: First- and second-order epi-differentiability in nonlinear programming, Trans. Amer. Math. Soc. 307 (1988), 75-107.
    • (1988) Trans. Amer. Math. Soc. , vol.307 , pp. 75-107
    • Rockafellar, R.T.1
  • 5
    • 0002173647 scopus 로고
    • Nonsmooth analysis and parametric optimization
    • A. Cellina (ed.), Methods of Nonconvex Analysis, Springer-Verlag, New York
    • Rockafellar, R. T.: Nonsmooth analysis and parametric optimization, in: A. Cellina (ed.), Methods of Nonconvex Analysis, Lecture Notes in Math. 1446, Springer-Verlag, New York, 1990, pp. 137-151.
    • (1990) Lecture Notes in Math. , vol.1446 , pp. 137-151
    • Rockafellar, R.T.1
  • 6
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    • A calculus of epi-derivatives applicable to optimization
    • Poliquin, R. A. and Rockafellar, R. T.: A calculus of epi-derivatives applicable to optimization, Canad. J. Math. 45 (1993), 879-896.
    • (1993) Canad. J. Math. , vol.45 , pp. 879-896
    • Poliquin, R.A.1    Rockafellar, R.T.2
  • 7
    • 0000304890 scopus 로고
    • Integration of subdifferentials of nonconvex functions
    • Poliquin, R. A.: Integration of subdifferentials of nonconvex functions, Nonlinear Anal. 17 (1991), 385-396.
    • (1991) Nonlinear Anal. , vol.17 , pp. 385-396
    • Poliquin, R.A.1
  • 8
    • 0003030229 scopus 로고
    • Integration of subdifferentials of lower semicontinuous functions on Banach spaces
    • Thibault, L. and Zagrodny, D.: Integration of subdifferentials of lower semicontinuous functions on Banach spaces, J. Math. Anal. Appl. 189 (1995), 33-58.
    • (1995) J. Math. Anal. Appl. , vol.189 , pp. 33-58
    • Thibault, L.1    Zagrodny, D.2
  • 9
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    • Proto-differentiability of set-valued mappings and its applications in optimization
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    • Rockafellar, R. T.: Proto-differentiability of set-valued mappings and its applications in optimization, in: H. Attouch, J.-P. Aubin, F. Clarke and I. Ekeland (eds), Analyse non linéaire, Gauthier-Villars, Paris, 1989, pp. 449-482.
    • (1989) Analyse Non Linéaire , pp. 449-482
    • Rockafellar, R.T.1
  • 10
    • 0013528137 scopus 로고
    • Proto-differentiation of subgradient set-valued mappings
    • Poliquin, R. A.: Proto-differentiation of subgradient set-valued mappings, Canad. J. Math. 42 (1990), 510-532.
    • (1990) Canad. J. Math. , vol.42 , pp. 510-532
    • Poliquin, R.A.1
  • 11
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    • Rockafellar, R.T.1
  • 12
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    • Generalized Hessian properties of regularized nonsmooth functions
    • Poliquin, R. A. and Rockafellar, R. T.: Generalized Hessian properties of regularized nonsmooth functions, SIAM J. Optim. 6 (1996), 1121-1137.
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    • Poliquin, R.A.1    Rockafellar, R.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.