메뉴 건너뛰기




Volumn 44, Issue 7, 2004, Pages 1145-1164

Mathematical programs with complementarity constraints: Regularity, optimality conditions, and sensitivity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 31144457069     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (25)
  • 3
    • 84863041059 scopus 로고
    • The nonlinear bilevel programming problem: Formulations, regularity, and optimality conditions
    • Y. Chen and M. Florian, "The Nonlinear Bilevel Programming Problem: Formulations, Regularity, and Optimality Conditions," Optimization 32, 193-209 (1995).
    • (1995) Optimization , vol.32 , pp. 193-209
    • Chen, Y.1    Florian, M.2
  • 5
    • 33746472569 scopus 로고    scopus 로고
    • Globally convergent Newton-type algorithms for optimization problems without regularity constraint condition
    • Vychisl. Tsentr Ross. Akad. Nauk, Moscow
    • A. F. Izmailov, M. V. Solodov, and K. M. Chokparov, "Globally Convergent Newton-Type Algorithms for Optimization Problems without Regularity Constraint Condition," Modeling and Analysis in Decision Problems (Vychisl. Tsentr Ross. Akad. Nauk, Moscow, 2003), pp. 63-82.
    • (2003) Modeling and Analysis in Decision Problems , pp. 63-82
    • Izmailov, A.F.1    Solodov, M.V.2    Chokparov, K.M.3
  • 8
    • 33746474820 scopus 로고    scopus 로고
    • Sensitivity analysis for abnormal cone-constrained optimization problems
    • A. V. Arutyunov and A. F. Izmailov, "Sensitivity Analysis for Abnormal Cone-Constrained Optimization Problems," Zh. Vychisl. Mat. Mat. Fiz. 44, 586-609 (2004)
    • (2004) Zh. Vychisl. Mat. Mat. Fiz. , vol.44 , pp. 586-609
    • Arutyunov, A.V.1    Izmailov, A.F.2
  • 10
    • 0032096712 scopus 로고    scopus 로고
    • Optimization problems with perturbations: A guided tour
    • F. Bonnans and A. Shapiro, "Optimization Problems with Perturbations: A Guided Tour," SIAM Rev. 40, 228-264 (1998).
    • (1998) SIAM Rev. , vol.40 , pp. 228-264
    • Bonnans, F.1    Shapiro, A.2
  • 11
    • 0016993914 scopus 로고
    • Stability theorems for systems of inequalities, part II: Differentiable nonlinear systems
    • S. M. Robinson, "Stability Theorems for Systems of Inequalities, Part II: Differentiable Nonlinear Systems," SIAM J. Numer. Anal. 13, 497-513 (1976).
    • (1976) SIAM J. Numer. Anal. , vol.13 , pp. 497-513
    • Robinson, S.M.1
  • 12
    • 33746506826 scopus 로고    scopus 로고
    • Banach theorem for cones and nonlinear mappings at a abnormal point
    • (Fizmatlit, Moscow) [in Russian]
    • A. V. Arutyunov, "Banach Theorem for Cones and Nonlinear Mappings at a Abnormal Point," Nonlinear Dynamics and Control (Fizmatlit, Moscow, 2003), Vol. 3, pp. 51-72 [in Russian].
    • (2003) Nonlinear Dynamics and Control , vol.3 , pp. 51-72
    • Arutyunov, A.V.1
  • 15
    • 0034139059 scopus 로고    scopus 로고
    • Mathematical programs with complementarity constraints: Stationarity, optimality and sensitivity
    • H. Scheel and S. Scholtes, "Mathematical Programs with Complementarity Constraints: Stationarity, Optimality and Sensitivity," Math. Operat. Res. 25, 1-22 (2000).
    • (2000) Math. Operat. Res. , vol.25 , pp. 1-22
    • Scheel, H.1    Scholtes, S.2
  • 16
    • 0035518451 scopus 로고    scopus 로고
    • How stringent is the linear independence assumption for mathematical programs with complementarity constraints?
    • S. Scholtes and M. Stöhr, "How Stringent is the Linear Independence Assumption for Mathematical Programs with Complementarity Constraints?" Math. Operat. Res. 26, 851-863 (2001).
    • (2001) Math. Operat. Res. , vol.26 , pp. 851-863
    • Scholtes, S.1    Stöhr, M.2
  • 17
    • 0000181946 scopus 로고    scopus 로고
    • Complementarity constraint qualifications and simplified B-stationarity conditions for mathematical programs with equilibrium constraints
    • J.-S. Pang and M. Fukushima, "Complementarity Constraint Qualifications and Simplified B-Stationarity Conditions for Mathematical Programs with Equilibrium Constraints," Comput. Optim. Appl. 13, 111-136 (1999).
    • (1999) Comput. Optim. Appl. , vol.13 , pp. 111-136
    • Pang, J.-S.1    Fukushima, M.2
  • 18
    • 0041540601 scopus 로고    scopus 로고
    • Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
    • Z.-Q. Luo, J.-S. Pang, D. Ralph, and S.-Q. Wu, "Exact Penalization and Stationarity Conditions of Mathematical Programs with Equilibrium Constraints," Math. Program. 75, 19-76 (1996).
    • (1996) Math. Program. , vol.75 , pp. 19-76
    • Luo, Z.-Q.1    Pang, J.-S.2    Ralph, D.3    Wu, S.-Q.4
  • 19
    • 0036671134 scopus 로고    scopus 로고
    • The theory of 2-regularity for mappings with lipschitzian derivatives and its applications to optimality conditions
    • A F Izmailov and M. V. Solodov, "The Theory of 2-Regularity for Mappings with Lipschitzian Derivatives and Its Applications to Optimality Conditions," Math. Operat. Res. 27, 614-635 (2002).
    • (2002) Math. Operat. Res. , vol.27 , pp. 614-635
    • Izmailov, A.F.1    Solodov, M.V.2
  • 20
    • 0038811726 scopus 로고    scopus 로고
    • Complementarity constraint qualification via the theory of 2-regularity
    • A F Izmailov and M. V. Solodov, "Complementarity Constraint Qualification via the Theory of 2-Regularity," SIAM J. Optim. 132, 368-385 (2002).
    • (2002) SIAM J. Optim. , vol.132 , pp. 368-385
    • Izmailov, A.F.1    Solodov, M.V.2
  • 21
    • 0033439649 scopus 로고    scopus 로고
    • Optimality conditions for optimization problems with complementarity constraints
    • J J Ye, "Optimality Conditions for Optimization Problems with Complementarity Constraints," SIAM J. Optim. 9, 374-387 (1999).
    • (1999) SIAM J. Optim. , vol.9 , pp. 374-387
    • Ye, J.J.1
  • 22
    • 0033359013 scopus 로고    scopus 로고
    • Optimality conditions for the class of mathematical programs with equilibrium constraints
    • J V Outrata, "Optimality Conditions for the Class of Mathematical Programs with Equilibrium Constraints," Math. Operat. Res. 24, 627-644 (1999).
    • (1999) Math. Operat. Res. , vol.24 , pp. 627-644
    • Outrata, J.V.1
  • 23
    • 0042637223 scopus 로고    scopus 로고
    • A note on sensitivity of value function of mathematical programs with complementarity constraints
    • X. Hu and D. Ralph, "A Note on Sensitivity of Value Function of Mathematical Programs with Complementarity Constraints," Math. Program. 93, 265-279 (2002).
    • (2002) Math. Program. , vol.93 , pp. 265-279
    • Hu, X.1    Ralph, D.2
  • 24
    • 0036291119 scopus 로고    scopus 로고
    • Sensitivity analysis of the value function for optimization problems with variational inequality constraints
    • Y. Lucet and J. J. Ye, "Sensitivity Analysis of the Value Function for Optimization Problems with Variational Inequality Constraints," SIAM J. Control Optim. 40, 699-723 (2001).
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 699-723
    • Lucet, Y.1    Ye, J.J.2
  • 25
    • 0018977011 scopus 로고
    • Strongly regular generalized equations
    • S. M. Robinson, "Strongly Regular Generalized Equations," Math. Operat. Res. 5, 43-62 (1980).
    • (1980) Math. Operat. Res. , vol.5 , pp. 43-62
    • Robinson, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.