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Volumn 7, Issue 1, 1999, Pages 89-99

Nonsingularity Conditions for Multifunctions

Author keywords

Coderivative; Inverse mapping theorem; Optimal solution; Outer graphical derivative; Pseudo Lipschitz; Sensitivity analysis; Stationary point; Strict derivative; Upper Lipschitz

Indexed keywords


EID: 0008714646     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008757630213     Document Type: Article
Times cited : (8)

References (19)
  • 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
    • 0028385352 scopus 로고
    • Local analysis of Newton-type methods for variational inequalities and nonlinear programming
    • Bonnans, J. F.: Local analysis of Newton-type methods for variational inequalities and nonlinear programming, Appl. Math. Optim. 29 (1994), 161-186.
    • (1994) Appl. Math. Optim. , vol.29 , pp. 161-186
    • Bonnans, J.F.1
  • 4
    • 0001866786 scopus 로고
    • Characterizations of Lipschitz stability in optimization
    • R. Lucchetti and J. Revalski (eds), Kluwer Acad. Publ., Dordrecht
    • Dontchev, A. L.: Characterizations of Lipschitz stability in optimization, in: R. Lucchetti and J. Revalski (eds), Recent Developments in Well-Posed Problems, Kluwer Acad. Publ., Dordrecht, 1995, pp. 95-115.
    • (1995) Recent Developments in Well-Posed Problems , pp. 95-115
    • Dontchev, A.L.1
  • 5
    • 0000948820 scopus 로고
    • Implicit functions, Lipschitz maps, and stability in optimization
    • Dontchev, A. L. and Hager, W. W.: Implicit functions, Lipschitz maps, and stability in optimization, Math. Oper. Res. 19 (1994), 297-326.
    • (1994) Math. Oper. Res. , vol.19 , pp. 297-326
    • Dontchev, A.L.1    Hager, W.W.2
  • 6
    • 0000540244 scopus 로고
    • Stability analysis of variational inequalities and nonlinear complementarity problems, via the mixed linear complementarity problem and degree theory
    • Gowda, M. S. and Pang, J.-S.: Stability analysis of variational inequalities and nonlinear complementarity problems, via the mixed linear complementarity problem and degree theory, Math. Oper. Res. 19 (1994), 831-879.
    • (1994) Math. Oper. Res. , vol.19 , pp. 831-879
    • Gowda, M.S.1    Pang, J.-S.2
  • 7
    • 34249843405 scopus 로고
    • Sensitivity analysis for nonsmooth generalized equations
    • King, A. J. and Rockafellar, R. T.: Sensitivity analysis for nonsmooth generalized equations, Math. Programming 55 (1992), 193-212.
    • (1992) Math. Programming , vol.55 , pp. 193-212
    • King, A.J.1    Rockafellar, R.T.2
  • 11
    • 0008693608 scopus 로고    scopus 로고
    • Implicit multifunction theorems for the sensitivity analysis of variational conditions
    • Levy, A. B.: Implicit multifunction theorems for the sensitivity analysis of variational conditions, Math. Programming 74 (1996), 333-350.
    • (1996) Math. Programming , vol.74 , pp. 333-350
    • Levy, A.B.1
  • 15
    • 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
  • 16
    • 0000551562 scopus 로고
    • Generalized differential calculus of nonsmooth and set-valued mappings
    • Mordukhovich, B.: Generalized differential calculus of 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.1
  • 17
    • 0027698357 scopus 로고
    • A degree-theoretic approach to parametric nonsmooth equations with multivalued perturbed solution sets
    • Pang, J.-S.: A degree-theoretic approach to parametric nonsmooth equations with multivalued perturbed solution sets, Math. Programming 62 (1993), 359-383.
    • (1993) Math. Programming , vol.62 , pp. 359-383
    • Pang, J.-S.1
  • 18
    • 0008693433 scopus 로고
    • Necessary and sufficient conditions for solution stability of parametric nonsmooth equations
    • D.-Z. Du, L. Qi, and R. S. Womersley (eds), World Scientific, Singapore
    • Pang, J.-S.: Necessary and sufficient conditions for solution stability of parametric nonsmooth equations, in: D.-Z. Du, L. Qi, and R. S. Womersley (eds), Recent Advances in Nonsmooth Optimization, World Scientific, Singapore, 1995, pp. 261-288.
    • (1995) Recent Advances in Nonsmooth Optimization , pp. 261-288
    • Pang, J.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.