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Volumn 2, Issue , 2006, Pages 111-122

A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints

Author keywords

Guignard constraint qualification; M stationarity; Mathematical programs with equilibrium constraints

Indexed keywords


EID: 84976502723     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: 10.1007/0-387-34221-4_6     Document Type: Chapter
Times cited : (29)

References (22)
  • 2
    • 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 (1995), pp. 193-209
    • (1995) Optimization , vol.32 , pp. 193-209
    • Chen, Y.1    Florian, M.2
  • 4
    • 0041729017 scopus 로고    scopus 로고
    • A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints
    • M. L. Flegel and C. Kanzow, A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints, Optimization, 52 (2003), pp. 277-286
    • (2003) Optimization , vol.52 , pp. 277-286
    • Flegel, M.L.1    Kanzow, C.2
  • 5
    • 23844496720 scopus 로고    scopus 로고
    • On M-stationarity for mathematical programs with equilibrium constraints
    • M. L. Flegel and C. Kanzow, On M-stationarity for mathematical programs with equilibrium constraints, Journal of Mathematical Analysis and Applications, 310 (2005), pp. 286-302
    • (2005) Journal of Mathematical Analysis and Applications , vol.310 , pp. 286-302
    • Flegel, M.L.1    Kanzow, C.2
  • 6
    • 21244465210 scopus 로고    scopus 로고
    • Abadie-type constraint qualification for mathematical programs with equilibrium constraints
    • M. L. Flegel and C. Kanzow, Abadie-type constraint qualification for mathematical programs with equilibrium constraints, Journal of Optimization Theory and Applications, 124 (2005), pp. 595-614
    • (2005) Journal of Optimization Theory and Applications , vol.124 , pp. 595-614
    • Flegel, M.L.1    Kanzow, C.2
  • 9
    • 8644263217 scopus 로고    scopus 로고
    • Convergence of a penalty method for mathematical programming with complementarity constraints
    • X. Hu and D. Ralph, Convergence of a penalty method for mathematical programming with complementarity constraints, Journal of Optimization Theory and Applications, 123 (2004), pp. 365-390
    • (2004) Journal of Optimization Theory and Applications , vol.123 , pp. 365-390
    • Hu, X.1    Ralph, D.2
  • 10
    • 0003239028 scopus 로고
    • Optimal Control via Nonsmooth Analysis
    • American Mathematical Society, Providence, RI
    • P. D. Loewen, Optimal Control via Nonsmooth Analysis, vol. 2 of CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI, 1993
    • (1993) Vol. 2 of CRM Proceedings & Lecture Notes
    • Loewen, P.D.1
  • 12
    • 0000551562 scopus 로고
    • Generalized differential calculus for nonsmooth and set-valued mappings
    • B. S. Mordukhovich, Generalized differential calculus for nonsmooth and set-valued mappings, Journal of Mathematical Analysis and Applications, 183 (1994), pp. 250-288
    • (1994) Journal of Mathematical Analysis and Applications , vol.183 , pp. 250-288
    • Mordukhovich, B.S.1
  • 14
    • 0033359013 scopus 로고    scopus 로고
    • Optimality conditions for a class of mathematical programs with equilibrium constraints
    • J. V. Outrata, Optimality conditions for a class of mathematical programs with equilibrium constraints, Mathematics of Operations Research, 24 (1999), pp. 627-644
    • (1999) Mathematics of Operations Research , vol.24 , pp. 627-644
    • Outrata, J.V.1
  • 15
    • 0033677038 scopus 로고    scopus 로고
    • A generalized mathematical program with equilibrium constraints
    • J. V. Outrata, A generalized mathematical program with equilibrium constraints, SIAM Jounral of Control and Optimization, 38 (2000), pp. 1623-1638
    • (2000) SIAM Jounral of Control and Optimization , vol.38 , pp. 1623-1638
    • Outrata, J.V.1
  • 16
    • 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, Computational Optimization and Applications, 13 (1999), pp. 111-136
    • (1999) Computational Optimization and Applications , vol.13 , pp. 111-136
    • Pang, J.-S.1    Fukushima, M.2
  • 17
    • 0001052352 scopus 로고
    • Some continuity properties of polyhedral multifunctions
    • S. M. Robinson, Some continuity properties of polyhedral multifunctions, Mathematical Programming Study, 14 (1981), pp. 206-214
    • (1981) Mathematical Programming Study , vol.14 , pp. 206-214
    • Robinson, S.M.1
  • 19
    • 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, Mathematics of Operations Research, 25 (2000), pp. 1-22
    • (2000) Mathematics of Operations Research , vol.25 , pp. 1-22
    • Scheel, H.1    Scholtes, S.2
  • 20
    • 0035603908 scopus 로고    scopus 로고
    • Convergence properties of a regularization scheme for mathematical programs with complementarity constraints
    • S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints, SIAM Journal on Optimization, 11 (2001), pp. 918-936
    • (2001) SIAM Journal on Optimization , vol.11 , pp. 918-936
    • Scholtes, S.1
  • 21
    • 0034345391 scopus 로고    scopus 로고
    • Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints
    • J. J. Ye, Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints, SIAM Journal on Optimization, 10 (2000), pp. 943-962
    • (2000) SIAM Journal on Optimization , vol.10 , pp. 943-962
    • Ye, J.J.1
  • 22
    • 18244364126 scopus 로고    scopus 로고
    • Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
    • J. J. Ye, Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints, Journal on Mathematical Analysis and Applications, 307 (2005), pp. 350-369.
    • (2005) Journal on Mathematical Analysis and Applications , vol.307 , pp. 350-369
    • Ye, J.J.1


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