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Volumn 117, Issue 1-2, 2009, Pages 129-147

Robinson's implicit function theorem and its extensions

Author keywords

Calmness; First order approximations; Inverse and implicit function theorems; Lipschitz modulus; Semiderivatives; Variational inequalities

Indexed keywords

FUNCTION EVALUATION; MATHEMATICAL PROGRAMMING; NONLINEAR PROGRAMMING; VARIATIONAL TECHNIQUES;

EID: 46749106339     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-007-0161-1     Document Type: Article
Times cited : (28)

References (16)
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  • 3
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    • A new approach to Lagrange multipliers
    • Clarke F.H. (1976). A new approach to Lagrange multipliers. Math. Oper. Res. 1: 165-174
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    • Clarke, F.H.1
  • 4
    • 0002449719 scopus 로고
    • Implicit function theorems for generalized equations
    • Dontchev A.L. (1995). Implicit function theorems for generalized equations. Math. Program. 70: 91-106
    • (1995) Math. Program. , vol.70 , pp. 91-106
    • Dontchev, A.L.1
  • 5
    • 0027590079 scopus 로고
    • Lipschitzian stability in nonlinear control and optimization
    • Dontchev A.L., Hager W.W. (1993). Lipschitzian stability in nonlinear control and optimization. SIAM J. Control Optim. 31: 569-603
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 569-603
    • Dontchev, A.L.1    Hager, W.W.2
  • 6
    • 3943050689 scopus 로고    scopus 로고
    • Regularity properties and conditioning in variational analysis and optimization
    • Dontchev A.L., Rockafellar R.T. (2004). Regularity properties and conditioning in variational analysis and optimization. Set-Valued Anal. 12: 79-109
    • (2004) Set-Valued Anal. , vol.12 , pp. 79-109
    • Dontchev, A.L.1    Rockafellar, R.T.2
  • 11
    • 84968502280 scopus 로고
    • A note on inverse function theorems
    • Leach E.B. (1961). A note on inverse function theorems. Proc. Am. Math. Soc. 12: 694-697
    • (1961) Proc. Am. Math. Soc. , vol.12 , pp. 694-697
    • Leach, E.B.1
  • 13
    • 0039514199 scopus 로고
    • Strong derivatives and inverse mappings
    • Nijenhuis A. (1974). Strong derivatives and inverse mappings. Am. Math. Mon. 81: 969-980
    • (1974) Am. Math. Mon. , vol.81 , pp. 969-980
    • Nijenhuis, A.1
  • 14
    • 0018977011 scopus 로고
    • Strongly regular generalized equations
    • Robinson S.M. (1980). Strongly regular generalized equations. Math. Oper. Res. 5: 43-62
    • (1980) Math. Oper. Res. , vol.5 , pp. 43-62
    • Robinson, S.M.1
  • 15
    • 0000516813 scopus 로고
    • An implicit-function theorem for a class of nonsmooth functions
    • Robinson S.M. (1991). An implicit-function theorem for a class of nonsmooth functions. Math. Oper. Res. 16: 292-308
    • (1991) Math. Oper. Res. , vol.16 , pp. 292-308
    • Robinson, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.