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Volumn 92, Issue 2, 1997, Pages 331-341

Convexity of the implicit Lagrangian

Author keywords

Complementarity problems; Implicit Lagrangian functions

Indexed keywords

VARIATIONAL TECHNIQUES;

EID: 0031476881     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022607213765     Document Type: Article
Times cited : (11)

References (15)
  • 1
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    • Mangasarian, O.L.1    Solodov, M.V.2
  • 3
    • 0039803395 scopus 로고
    • Unconstrained methods in nonlinear programming
    • American Mathematical Society, Providence, Rhode Island
    • MANGASARIAN, O. L., Unconstrained Methods in Nonlinear Programming, Nonlinear Programming SIAM-AMS Proceedings, American Mathematical Society, Providence, Rhode Island, Vol. 9, pp. 169-184, 1976.
    • (1976) Nonlinear Programming SIAM-AMS Proceedings , vol.9 , pp. 169-184
    • Mangasarian, O.L.1
  • 4
    • 34250427726 scopus 로고
    • The multiplier method of hestenes and powell applied to convex programming
    • ROCKAFELLAR, R. T., The Multiplier Method of Hestenes and Powell Applied to Convex Programming, Journal of Optimization Theory and Applications, Vol. 12, pp. 555-562, 1973.
    • (1973) Journal of Optimization Theory and Applications , vol.12 , pp. 555-562
    • Rockafellar, R.T.1
  • 5
    • 21844488561 scopus 로고
    • On stationary points of the implicit lagrangian for nonlinear complementarity problems
    • YAMASHITA, N., and FUKUSHIMA, M., On Stationary Points of the Implicit Lagrangian for Nonlinear Complementarity Problems, Journal of Optimization Theory and Applications, Vol. 84, pp. 653-663, 1995.
    • (1995) Journal of Optimization Theory and Applications , vol.84 , pp. 653-663
    • Yamashita, N.1    Fukushima, M.2
  • 6
    • 0030540616 scopus 로고    scopus 로고
    • Nonlinear complementarity as unconstrained optimization
    • KANZOW, C., Nonlinear Complementarity as Unconstrained Optimization, Journal of Optimization Theory and Applications, Vol. 88, pp. 139-155, 1996.
    • (1996) Journal of Optimization Theory and Applications , vol.88 , pp. 139-155
    • Kanzow, C.1
  • 7
    • 0041058189 scopus 로고
    • Tech Report 94/33, School of Mathematics, University of New South Wales, Sydney, New South Wales, Australia
    • JIANG, H. Unconstrained Minimization Approaches to Nonlinear Complementarities, Tech Report 94/33, School of Mathematics, University of New South Wales, Sydney, New South Wales, Australia, 1994.
    • (1994) Unconstrained Minimization Approaches to Nonlinear Complementarities
    • Jiang, H.1
  • 10
    • 0026763569 scopus 로고
    • Equivalent differentiate optimization problems and descent methods for asymmetric variational inequality problems
    • FUKUSHIMA, M., Equivalent Differentiate Optimization Problems and Descent Methods for Asymmetric Variational Inequality Problems, Mathematical Programming, Vol. 53, pp. 99-110, 1992.
    • (1992) Mathematical Programming , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 11
    • 0040395847 scopus 로고
    • Technical Report ICM-95-12, Institute of Computational Mathematics and Scientific Computing, Academia Sinica, Beijing, China
    • PENG, J. M., and YUAN, Y. X., Unconstrained Methods for Generalized Complementarity Problems, Technical Report ICM-95-12, Institute of Computational Mathematics and Scientific Computing, Academia Sinica, Beijing, China, 1995.
    • (1995) Unconstrained Methods for Generalized Complementarity Problems
    • Peng, J.M.1    Yuan, Y.X.2
  • 12
    • 0040464122 scopus 로고
    • Technical Report ICM-95-14, Institute of Computational Mathematics and Scientific Computing, Academia Sinica, Beijing, China
    • PENG, J. M., Equivalence of Variational Inequality Problems to Unconstrained Minimization, Technical Report ICM-95-14, Institute of Computational Mathematics and Scientific Computing, Academia Sinica, Beijing, China, 1995.
    • (1995) Equivalence of Variational Inequality Problems to Unconstrained Minimization
    • Peng, J.M.1
  • 13
    • 0001922641 scopus 로고
    • A class of gap functions for variational inequalities
    • LARSSON, T., and PATRIKSSON, M., A Class of Gap Functions for Variational Inequalities, Mathematical Programming, Vol. 64, pp. 53-79, 1994.
    • (1994) Mathematical Programming , vol.64 , pp. 53-79
    • Larsson, T.1    Patriksson, M.2
  • 14
  • 15
    • 0003742871 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • AVRIEL, M., Nonlinear Programming, Prentice-Hall, Englewood Cliffs, New Jersey, 1976.
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    • Avriel, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.