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Volumn 13, Issue 1-3, 1999, Pages 111-136

Complementarity Constraint Qualifications and Simplified B-Stationarity Conditions for Mathematical Programs with Equilibrium Constraints

Author keywords

Mathematical programs with equilibrium constraints; Stationarity conditions

Indexed keywords


EID: 0000181946     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008656806889     Document Type: Article
Times cited : (93)

References (25)
  • 1
    • 0002517759 scopus 로고
    • On the Kuhn-Tucker theorem
    • J. Abadie (Ed.), North Holland Publishing Company: Amsterdam
    • J. Abadie, "On the Kuhn-Tucker theorem," in Nonlinear Programming, J. Abadie (Ed.), North Holland Publishing Company: Amsterdam, 1967, pp. 19-36.
    • (1967) In Nonlinear Programming , pp. 19-36
    • Abadie, J.1
  • 4
    • 0040908354 scopus 로고    scopus 로고
    • A smoothing method for mathematical programs with equilibrium constraints
    • in press
    • F. Facchinei, H. Jiang, and L. Qi, "A smoothing method for mathematical programs with equilibrium constraints," Mathematical Programming, in press.
    • Mathematical Programming
    • Facchinei, F.1    Jiang, H.2    Qi, L.3
  • 5
    • 0002423523 scopus 로고
    • On bilevel programming, Part I: General nonlinear case
    • J.E. Falk and J. Liu, "On bilevel programming, Part I: General nonlinear case," Mathematical Programming, vol. 70, pp. 47-72, 1995.
    • (1995) Mathematical Programming , vol.70 , pp. 47-72
    • Falk, J.E.1    Liu, J.2
  • 6
    • 0032047752 scopus 로고    scopus 로고
    • A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints
    • M. Fukushima, Z.Q. Luo, and J.S. Pang, "A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints," Computational Optimization and Applications, vol. 10, pp. 5-30, 1998.
    • (1998) Computational Optimization and Applications , vol.10 , pp. 5-30
    • Fukushima, M.1    Luo, Z.Q.2    Pang, J.S.3
  • 7
    • 0032346174 scopus 로고    scopus 로고
    • Some feasibility issues in mathematical programs with equilibrium constraints
    • M. Fukushima and J.S. Pang, "Some feasibility issues in mathematical programs with equilibrium constraints," SIAM Journal of Optimization, vol. 8, pp. 673-681, 1998.
    • (1998) SIAM Journal of Optimization , vol.8 , pp. 673-681
    • Fukushima, M.1    Pang, J.S.2
  • 8
    • 0001114822 scopus 로고
    • Convergence behavior of interior-point algorithms
    • O. Güler and Y. Ye, "Convergence behavior of interior-point algorithms," Mathematical Programming, vol. 60, pp. 215-228, 1993.
    • (1993) Mathematical Programming , vol.60 , pp. 215-228
    • Güler, O.1    Ye, Y.2
  • 9
    • 0001920005 scopus 로고    scopus 로고
    • QPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints
    • H. Jiang and D. Ralph, "QPECgen, a MATLAB generator for mathematical programs with quadratic objectives and affine variational inequality constraints," Comp. Optimiz. and Applic., vol. 13, pp. 25-60, 1998.
    • (1998) Comp. Optimiz. and Applic. , vol.13 , pp. 25-60
    • Jiang, H.1    Ralph, D.2
  • 11
    • 0003143226 scopus 로고    scopus 로고
    • Piecewise sequential quadratic programming for mathematical programs with nonlinear complementarity constraints
    • A. Migdalas and P. Pardalos (Eds.), Kluwer Academic Publishers
    • Z.Q. Luo, J.S. Pang, and D. Ralph, "Piecewise sequential quadratic programming for mathematical programs with nonlinear complementarity constraints," in Multilevel Optimization: Algorithms, Complexity and Applications, A. Migdalas and P. Pardalos (Eds.), Kluwer Academic Publishers, 1998, pp. 209-230.
    • (1998) Multilevel Optimization: Algorithms, Complexity and Applications , pp. 209-230
    • Luo, Z.Q.1    Pang, J.S.2    Ralph, D.3
  • 12
    • 0041540601 scopus 로고    scopus 로고
    • Exact penalization and stationary conditions of mathematical programs with equilibrium constraints
    • Z.-Q. Luo, J.S. Pang, D. Ralph, and S.Q. Wu, "Exact penalization and stationary conditions of mathematical programs with equilibrium constraints," Mathematical Programming, vol. 76, pp. 19-76, 1996.
    • (1996) Mathematical Programming , vol.76 , pp. 19-76
    • Luo, Z.-Q.1    Pang, J.S.2    Ralph, D.3    Wu, S.Q.4
  • 14
    • 49949133603 scopus 로고
    • The Fritz John optimality necessary conditions in the presence of equality and inequality constraints
    • O.L. Mangasarian and S. Fromovitz, "The Fritz John optimality necessary conditions in the presence of equality and inequality constraints," Journal of Mathematical Analysis and Applications, vol. 17, pp. 37-47, 1967.
    • (1967) Journal of Mathematical Analysis and Applications , vol.17 , pp. 37-47
    • Mangasarian, O.L.1    Fromovitz, S.2
  • 15
    • 0001685432 scopus 로고
    • On optimization problems with variational inequality constraints
    • J.V. Outrata, "On optimization problems with variational inequality constraints," SIAM Journal of Optimization, vol. 4, pp. 340-357, 1994.
    • (1994) SIAM Journal of Optimization , vol.4 , pp. 340-357
    • Outrata, J.V.1
  • 17
    • 0003338325 scopus 로고    scopus 로고
    • Sequential quadratic programming for mathematical programs with linear complementarity constraints
    • R.L. May and A.K. Eastons (Eds.), World Scientific Press
    • D. Ralph, "Sequential quadratic programming for mathematical programs with linear complementarity constraints," in CTAC95 Computational Techniques and Applications, R.L. May and A.K. Eastons (Eds.), World Scientific Press, 1996, pp. 663-668.
    • (1996) CTAC95 Computational Techniques and Applications , pp. 663-668
    • Ralph, D.1
  • 21
    • 0043031000 scopus 로고    scopus 로고
    • private communication, January
    • Y. Ye, private communication, January 1998.
    • (1998)
    • Ye, Y.1
  • 22
    • 0031268951 scopus 로고    scopus 로고
    • Necessary optimality conditions for optimization problems with variational inequalities constraints
    • J.J. Ye and X.Y. Ye, "Necessary optimality conditions for optimization problems with variational inequalities constraints," Mathematics of Operations Research, vol. 22, pp. 977-998, 1997.
    • (1997) Mathematics of Operations Research , vol.22 , pp. 977-998
    • Ye, J.J.1    Ye, X.Y.2
  • 23
    • 84948424626 scopus 로고
    • Optimality conditions for bilevel programming problems
    • J.J. Ye and D.L. Zhu, "Optimality conditions for bilevel programming problems," Optimization, vol. 33, pp. 9-27, 1995.
    • (1995) Optimization , vol.33 , pp. 9-27
    • Ye, J.J.1    Zhu, D.L.2
  • 24
    • 0039272224 scopus 로고    scopus 로고
    • First-order necessary optimality conditions for general bilevel programming problems
    • A. Yezza, "First-order necessary optimality conditions for general bilevel programming problems," Journal of Optimization Theory and Applications, vol. 89, pp. 189-219, 1996.
    • (1996) Journal of Optimization Theory and Applications , vol.89 , pp. 189-219
    • Yezza, A.1
  • 25
    • 0000977845 scopus 로고
    • Problems of hierarchical optimization in finite dimensions
    • R. Zhang, "Problems of hierarchical optimization in finite dimensions," SIAM Journal on Optimization, vol. 4, pp. 521-536, 1994.
    • (1994) SIAM Journal on Optimization , vol.4 , pp. 521-536
    • Zhang, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.