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Volumn 95, Issue 3, 1997, Pages 735-739

First-order necessary optimality conditions for general bilevel programming problems

Author keywords

Bilevel programming; Existence of optimal solutions; Necessary optimality conditions

Indexed keywords

OPTIMAL SYSTEMS;

EID: 0031321441     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022646611097     Document Type: Article
Times cited : (27)

References (8)
  • 1
    • 0039272224 scopus 로고    scopus 로고
    • First-order necessary optimally conditions for general bilevel programming problems
    • YEZZA, A., First-Order Necessary Optimally 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
  • 2
    • 0007043178 scopus 로고
    • Approximate solutions for two-level optimization problems, trends in mathematical optimization
    • K. Hoffman, J. Hiriart-Urruty, C. Lemarechal, and J. Zowe, Birkhäuser Verlag, Basel, Switzerland
    • LORIDAN, P., and MORGAN, J., Approximate Solutions for Two-Level Optimization Problems, Trends in Mathematical Optimization, Edited by K. Hoffman, J. Hiriart-Urruty, C. Lemarechal, and J. Zowe, International Series of Numerical Mathematics, Birkhäuser Verlag, Basel, Switzerland, Vol. 84, pp. 181-196, 1988.
    • (1988) International Series of Numerical Mathematics , vol.84 , pp. 181-196
    • Loridan, P.1    Morgan, J.2
  • 3
    • 0001452318 scopus 로고
    • Existence theorem of equilibrium points in stackelberg games with constraints
    • LUCCHETTI, R., MIGNANEGO, F., and PIERI, G., Existence Theorem of Equilibrium Points in Stackelberg Games with Constraints, Optimization, Vol. 18, pp. 857-866, 1987.
    • (1987) Optimization , vol.18 , pp. 857-866
    • Lucchetti, R.1    Mignanego, F.2    Pieri, G.3
  • 4
    • 0023997843 scopus 로고
    • Existence of optimal solutions to mathematical programs with equilibrium constraints
    • HARKER, P. T., and PANG, J. S., Existence of Optimal Solutions to Mathematical Programs with Equilibrium Constraints, Operations Research Letters, Vol. 7, pp. 61-64, 1988.
    • (1988) Operations Research Letters , vol.7 , pp. 61-64
    • Harker, P.T.1    Pang, J.S.2
  • 5
    • 0030296038 scopus 로고    scopus 로고
    • On an algorithm solving two-level programming problems with nonunique lower level solutions
    • DEMPE, S., and SCHMIDT, H., On an Algorithm Solving Two-Level Programming Problems with Nonunique Lower Level Solutions, Computational Optimization and Applications, Vol. 6, pp. 227-249, 1996.
    • (1996) Computational Optimization and Applications , vol.6 , pp. 227-249
    • Dempe, S.1    Schmidt, H.2
  • 6
    • 33646551919 scopus 로고
    • Über der äquivalenz nichtlinearer optimierungsaufgaben
    • Technische Universität Karl-Marx-Stadt, Germany
    • LUDERER, B., Über der Äquivalenz nichtlinearer Optimierungsaufgaben, Technical Report, Technische Universität Karl-Marx-Stadt, Germany, 1983.
    • (1983) Technical Report
    • Luderer, B.1
  • 7
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • ROCKAFELLAR, R. T., Convex Analysis. Princeton University Press, Princeton, New Jersey, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.