메뉴 건너뛰기




Volumn 215, Issue 1, 1997, Pages 48-55

Solution sensitivity of a class of variational inequalities

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

EID: 0031260780     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5607     Document Type: Article
Times cited : (41)

References (14)
  • 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
  • 3
    • 0001707277 scopus 로고
    • Sensitivity analysis in variational inequalities
    • Dafermos S. Sensitivity analysis in variational inequalities. Math. Oper. Res. 13:1988;421-434.
    • (1988) Math. Oper. Res. , vol.13 , pp. 421-434
    • Dafermos, S.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., 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
  • 5
    • 0000948820 scopus 로고
    • Implicit functions, Lipschitz maps, and stability in optimization
    • Donchev A. L., Hager W. W. Implicit functions, Lipschitz maps, and stability in optimization. Math. Oper. Res. 19:1994;753-768.
    • (1994) Math. Oper. Res. , vol.19 , pp. 753-768
    • Donchev, A.L.1    Hager, W.W.2
  • 7
    • 49949133603 scopus 로고
    • The Fritz-John necessary optimality conditions in the presence of equality and inequality constraints
    • Mangasarian O. L., Fromovitz S. The Fritz-John necessary optimality conditions in the presence of equality and inequality constraints. J. Math. Anal. Appl. 17:1967;37-47.
    • (1967) J. Math. Anal. Appl. , vol.17 , pp. 37-47
    • Mangasarian, O.L.1    Fromovitz, S.2
  • 8
    • 38249012502 scopus 로고
    • Sensitivity analysis of generalized variational inequalities
    • Mukherjee R. N., Verma H. L. Sensitivity analysis of generalized variational inequalities. J. Math. Anal. Appl. 167:1992;299-304.
    • (1992) J. Math. Anal. Appl. , vol.167 , pp. 299-304
    • Mukherjee, R.N.1    Verma, H.L.2
  • 9
    • 0000490196 scopus 로고
    • On a class of variational inequalities
    • Noor M. A. On a class of variational inequalities. J. Math. Anal. Appl. 128:1987;135-155.
    • (1987) J. Math. Anal. Appl. , vol.128 , pp. 135-155
    • Noor, M.A.1
  • 10
    • 0016993914 scopus 로고
    • Stability theory for systems of inequalities, Part II: Differentiable nonlinear systems
    • Robinson S. M. Stability theory for systems of inequalities, Part 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
  • 11
    • 0000676135 scopus 로고
    • Lipschitzian properties of multifunctions
    • Rockafellar R. T. Lipschitzian properties of multifunctions. Nonlinear Anal. 9:1985;867-885.
    • (1985) Nonlinear Anal. , vol.9 , pp. 867-885
    • Rockafellar, R.T.1
  • 12
    • 0000561268 scopus 로고
    • Hölder continuity of solutions to a parametric variational inequality
    • Yen N. D. Hölder continuity of solutions to a parametric variational inequality. Appl. Math. Optim. 31:1995;245-255.
    • (1995) Appl. Math. Optim. , vol.31 , pp. 245-255
    • Yen, N.D.1
  • 13
    • 0000059235 scopus 로고
    • Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint
    • Yen N. D. Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Math. Oper. Res. 20:1995;695-708.
    • (1995) Math. Oper. Res. , vol.20 , pp. 695-708
    • Yen, N.D.1
  • 14
    • 0002800189 scopus 로고
    • Regularity and stability for the mathematical programming problem in Banach spaces
    • Zowe J., Kurcyusz S. Regularity and stability for the mathematical programming problem in Banach spaces. Appl. Math. Optim. 5:1980;49-62.
    • (1980) Appl. Math. Optim. , vol.5 , pp. 49-62
    • Zowe, J.1    Kurcyusz, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.