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Volumn 5, Issue 4, 1997, Pages 351-364

Characterizing the Single-Valuedness of Multifunctions

Author keywords

Aubin continuity; Premonotonicity; Proximal subdifferential; Sensitivity analysis

Indexed keywords


EID: 0007621558     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008648821168     Document Type: Article
Times cited : (21)

References (11)
  • 1
    • 0021375867 scopus 로고
    • Lipschitz behavior of solutions to convex minimization problems
    • Aubin, J. P.: Lipschitz behavior of solutions to convex minimization problems, Math. Oper. Res. 9 (1984), 87-111.
    • (1984) Math. Oper. Res. , vol.9 , pp. 87-111
    • Aubin, J.P.1
  • 3
    • 0030521635 scopus 로고
    • Characterizations of strong regularity for variational inequalities over polyhedral convex sets
    • Dontchev, A. L. and Rockafellar, R. T.: Characterizations of strong regularity for variational inequalities over polyhedral convex sets, SIAM J. Optim. 6 (1995), 1087-1105.
    • (1995) SIAM J. Optim. , vol.6 , pp. 1087-1105
    • Dontchev, A.L.1    Rockafellar, R.T.2
  • 4
    • 0005382209 scopus 로고
    • Semi-continuity of set-valued mappings
    • Kenderov, P.: Semi-continuity of set-valued mappings, Fund. Math. 88 (1975), 61-69.
    • (1975) Fund. Math. , vol.88 , pp. 61-69
    • Kenderov, P.1
  • 5
    • 84972507805 scopus 로고
    • Dense strong continuity of pointwise continuous mappings
    • Kenderov, P.: Dense strong continuity of pointwise continuous mappings, Pacific J. Math. 89 (1980), 111-130.
    • (1980) Pacific J. Math. , vol.89 , pp. 111-130
    • Kenderov, P.1
  • 6
    • 0030174157 scopus 로고
    • Variational conditions and the proto-differentiation of partial subgradient mappings
    • Levy, A. B. and Rockafellar, R. T.: Variational conditions and the proto-differentiation of partial subgradient mappings, Nonlinear Anal. 26 (1995), 1951-1964.
    • (1995) Nonlinear Anal. , vol.26 , pp. 1951-1964
    • Levy, A.B.1    Rockafellar, R.T.2
  • 7
    • 84966250815 scopus 로고
    • Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions
    • Mordukhovich, B.: Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions, Trans. Amer. Math. Soc. 340 (1993), 1-35.
    • (1993) Trans. Amer. Math. Soc. , vol.340 , pp. 1-35
    • Mordukhovich, B.1
  • 8
    • 0000304890 scopus 로고
    • Integration of subdifferentials of nonconvex functions
    • Poliquin, R. A.: Integration of subdifferentials of nonconvex functions, Nonlinear Anal. 17 (1991), 385-398.
    • (1991) Nonlinear Anal. , vol.17 , pp. 385-398
    • Poliquin, R.A.1
  • 9
    • 84968500669 scopus 로고
    • An extension of Attouch's theorem and its application to second-order epidifferentiation of convexly composite functions
    • Poliquin, R. A.: An extension of Attouch's theorem and its application to second-order epidifferentiation of convexly composite functions, Trans. Amer. Math. Soc. 332 (1992), 861-874.
    • (1992) Trans. Amer. Math. Soc. , vol.332 , pp. 861-874
    • Poliquin, R.A.1
  • 10
    • 0007633319 scopus 로고    scopus 로고
    • Prox-regular functions in variational analysis
    • Poliquin, R. A. and Rockafellar, R. T.: Prox-regular functions in variational analysis, Trans. Amer. Math. Soc. 348 (1996), 1805-1838.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 1805-1838
    • Poliquin, R.A.1    Rockafellar, R.T.2
  • 11
    • 0002085846 scopus 로고
    • Favorable classes of Lipschitz-continuous functions in subgradient optimization
    • E. Nurminski (ed.), Institute for Applied Systems
    • Rockafellar, R. T.: Favorable classes of Lipschitz-continuous functions in subgradient optimization, in: E. Nurminski (ed.), Progress in Nondifferentiable Optimization, Institute for Applied Systems, 1982, pp. 125-143.
    • (1982) Progress in Nondifferentiable Optimization , pp. 125-143
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.