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Volumn 70, Issue 7, 2009, Pages 2806-2815

Point-based sufficient conditions for metric regularity of implicit multifunctions

Author keywords

Implicit multifunction; Local metric regularity in Robinson's sense; Normal coderivative; Point based sufficient condition; Robustness

Indexed keywords

BANACH SPACES; FUNCTIONS; PROBABILITY DENSITY FUNCTION; PROGRAMMING THEORY;

EID: 59849105019     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.04.005     Document Type: Article
Times cited : (29)

References (22)
  • 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
  • 2
    • 0022465886 scopus 로고
    • Stability and regular points of inequality systems
    • Borwein J.M. Stability and regular points of inequality systems. J. Optim. Theory Appl. 48 (1986) 9-52
    • (1986) J. Optim. Theory Appl. , vol.48 , pp. 9-52
    • Borwein, J.M.1
  • 4
    • 0002583747 scopus 로고
    • On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints
    • Dien P.H., and Yen N.D. On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Appl. Math. Optim. 24 (1991) 35-54
    • (1991) Appl. Math. Optim. , vol.24 , pp. 35-54
    • Dien, P.H.1    Yen, N.D.2
  • 6
    • 0016092731 scopus 로고
    • On the variational principle
    • Ekeland I. On the variational principle. J. Math. Anal. Appl. 47 (1974) 324-353
    • (1974) J. Math. Anal. Appl. , vol.47 , pp. 324-353
    • Ekeland, I.1
  • 8
    • 9944233238 scopus 로고    scopus 로고
    • Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization
    • Jeyakumar V., and Yen N.D. Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. SIAM J. Optim. 14 (2004) 1106-1127
    • (2004) SIAM J. Optim. , vol.14 , pp. 1106-1127
    • Jeyakumar, V.1    Yen, N.D.2
  • 9
    • 0041544886 scopus 로고    scopus 로고
    • Implicit multifunctions theorems
    • Ledyaev Yu.S., and Zhu Q.J. Implicit multifunctions theorems. Set-Valued Anal. 7 (1999) 209-238
    • (1999) Set-Valued Anal. , vol.7 , pp. 209-238
    • Ledyaev, Yu.S.1    Zhu, Q.J.2
  • 10
    • 34648834855 scopus 로고    scopus 로고
    • Normal coderivative for multifunctions and implicit function theorems
    • Lee G.M., Tam N.N., and Yen N.D. Normal coderivative for multifunctions and implicit function theorems. J. Math. Anal. Appl. 338 (2008) 11-22
    • (2008) J. Math. Anal. Appl. , vol.338 , pp. 11-22
    • Lee, G.M.1    Tam, N.N.2    Yen, N.D.3
  • 11
    • 21044440287 scopus 로고    scopus 로고
    • Coderivatives in parametric optimization
    • Levy A.B., and Mordukhovich B.S. Coderivatives in parametric optimization. Math. Program. 99 (2004) 311-327
    • (2004) Math. Program. , vol.99 , pp. 311-327
    • Levy, A.B.1    Mordukhovich, B.S.2
  • 12
    • 84966250815 scopus 로고
    • Complete characterization of openness, metric regularity, and Lipschitzian properties of multifunctions
    • Mordukhovich B.S. 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.S.1
  • 13
    • 0000551562 scopus 로고
    • Generalized differential calculus for nonsmooth and set-valued mappings
    • Mordukhovich B.S. Generalized differential calculus for nonsmooth and set-valued mappings. J. Math. Anal. Appl. 183 (1994) 250-288
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 250-288
    • Mordukhovich, B.S.1
  • 14
    • 3543084542 scopus 로고    scopus 로고
    • Coderivative analysis of variational systems
    • Mordukhovich B.S. Coderivative analysis of variational systems. J. Global Optim. 28 (2004) 347-362
    • (2004) J. Global Optim. , vol.28 , pp. 347-362
    • Mordukhovich, B.S.1
  • 16
    • 45749114584 scopus 로고    scopus 로고
    • Subgradients of marginal functions in parametric mathematical programming
    • Available online, in press doi:10.1007/s10107-007-0120-x;
    • B.S. Mordukhovich, N.M. Nam, N.D. Yen, Subgradients of marginal functions in parametric mathematical programming, Math. Program. Ser. B, in press (doi:10.1007/s10107-007-0120-x; Available online)
    • Math. Program. Ser. B
    • Mordukhovich, B.S.1    Nam, N.M.2    Yen, N.D.3
  • 17
    • 27244452009 scopus 로고    scopus 로고
    • Nonsmooth sequential analysis in Asplund spaces
    • Mordukhovich B.S., and Shao Y. Nonsmooth sequential analysis in Asplund spaces. Trans. Amer. Math. Soc. 348 (1996) 1235-1280
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 1235-1280
    • Mordukhovich, B.S.1    Shao, Y.2
  • 18
    • 3943050688 scopus 로고    scopus 로고
    • Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
    • Ngai H.V., and Théra M. Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization. Set-Valued Anal. 12 (2004) 195-223
    • (2004) Set-Valued Anal. , vol.12 , pp. 195-223
    • Ngai, H.V.1    Théra, M.2
  • 19
    • 0016567932 scopus 로고
    • Stability theory for systems of inequalities, I. Linear systems
    • Robinson S.M. Stability theory for systems of inequalities, I. Linear systems. SIAM J. Numer. Anal. 12 (1975) 754-769
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 754-769
    • Robinson, S.M.1
  • 20
    • 0016993914 scopus 로고
    • Stability theory for systems of inequalities, II. Differentiable nonlinear systems
    • Robinson S.M. Stability theory for systems of inequalities, II. Differentiable nonlinear systems. SIAM J. Numer. Anal. 13 (1976) 497-513
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 497-513
    • Robinson, S.M.1
  • 22
    • 0040226654 scopus 로고
    • Implicit function theorems for set-valued maps
    • Yen N.D. Implicit function theorems for set-valued maps. Acta Math. Vietnam. 12 2 (1987) 17-28
    • (1987) Acta Math. Vietnam. , vol.12 , Issue.2 , pp. 17-28
    • Yen, N.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.