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Volumn 78, Issue 3, 1997, Pages 347-355

Equivalence of variational inequality problems to unconstrained minimization

Author keywords

Complementarity problem; Unconstrained optimization; Variational inequality problem

Indexed keywords


EID: 0001070251     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02614360     Document Type: Article
Times cited : (89)

References (15)
  • 1
    • 0002036820 scopus 로고
    • Traffic equilibrium and variational inequalities
    • S. Dafermos, Traffic equilibrium and variational inequalities, Transportation Science 14 (1980) 42-54.
    • (1980) Transportation Science , vol.14 , pp. 42-54
    • Dafermos, S.1
  • 2
    • 0026763569 scopus 로고
    • Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
    • M. Fukushima, Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems, Mathematical Programming 53 (1992) 99-110.
    • (1992) Mathematical Programming , vol.53 , pp. 99-110
    • Fukushima, M.1
  • 4
    • 0022361866 scopus 로고
    • A new algorithm for solving variational inequalities with application to the traffic assignment problem
    • P. Marcotte, A new algorithm for solving variational inequalities with application to the traffic assignment problem. Mathematical Programming 33 (1985) 339-351.
    • (1985) Mathematical Programming , vol.33 , pp. 339-351
    • Marcotte, P.1
  • 5
    • 0023314787 scopus 로고
    • A note on a globally convergent Newton method for solving monotone variational inequalities
    • P. Marcotte and J. P. Dussault, A note on a globally convergent Newton method for solving monotone variational inequalities, Operations Research Letters 6 (1987) 35-42.
    • (1987) Operations Research Letters , vol.6 , pp. 35-42
    • Marcotte, P.1    Dussault, J.P.2
  • 6
    • 0344704362 scopus 로고
    • Finite dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
    • P.T. Harker and J.S. Pang, Finite dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications. Mathematical Programming 48 (1990) 161-220.
    • (1990) Mathematical Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 7
    • 34250076671 scopus 로고
    • Nonlinear complementarity as unconstrained and constrained minimization
    • O.L. Mangasarian and M.V. Solodov, Nonlinear complementarity as unconstrained and constrained minimization, Mathematical Programming 62 (1993) 277-297.
    • (1993) Mathematical Programming , vol.62 , pp. 277-297
    • Mangasarian, O.L.1    Solodov, M.V.2
  • 8
    • 0001170028 scopus 로고
    • A posteriori error bounds for the linearly-constrained variational inequality problem
    • J.S. Pang, A posteriori error bounds for the linearly-constrained variational inequality problem, Mathematics of Operations Research 12 (1987) 474-484.
    • (1987) Mathematics of Operations Research , vol.12 , pp. 474-484
    • Pang, J.S.1
  • 10
    • 30244534462 scopus 로고
    • Equivalence of complementarity problems to differentiable minimization: A unified approach
    • Nara Institute of Science and Technology, Nara
    • P. Tseng, N. Yamashita and M. Fukushima, Equivalence of complementarity problems to differentiable minimization: A unified approach, Information Science Technical Report #94005, Nara Institute of Science and Technology, Nara, 1994.
    • (1994) Information Science Technical Report #94005
    • Tseng, P.1    Yamashita, N.2    Fukushima, M.3
  • 11
    • 0027664261 scopus 로고
    • A general descent framework for the monotone variational inequality problem
    • J.H. Wu, M. Florian and P. Marcotte, A general descent framework for the monotone variational inequality problem, Mathematical Programming 61 (1993) 281-300.
    • (1993) Mathematical Programming , vol.61 , pp. 281-300
    • Wu, J.H.1    Florian, M.2    Marcotte, P.3
  • 12
    • 30244533726 scopus 로고
    • On stationary points of the implicit lagrangian for nonlinear complementarity problems
    • Nara Institute of Science and Technology, Nara
    • N. Yamashita and M. Fukushima, On Stationary points of the Implicit Lagrangian for Nonlinear Complementarity problems, Information Science Technical Report, Nara Institute of Science and Technology, Nara, 1993; (to appear in Journal of Optimization Theory and Applications).
    • (1993) Information Science Technical Report
    • Yamashita, N.1    Fukushima, M.2
  • 13
    • 30244511222 scopus 로고    scopus 로고
    • N. Yamashita and M. Fukushima, On Stationary points of the Implicit Lagrangian for Nonlinear Complementarity problems, Information Science Technical Report, Nara Institute of Science and Technology, Nara, 1993; (to appear in Journal of Optimization Theory and Applications).
    • Journal of Optimization Theory and Applications
  • 14
    • 30244527079 scopus 로고
    • Equivalent unconstrained minimization and global error bounds for variational inequality problems
    • Nara Institute of Science and Technology, Nara
    • N. Yamashita and M. Fukushima, Equivalent unconstrained minimization and global error bounds for variational inequality problems, Information Science Technical Report NAIST-IS-TR94034, Nara Institute of Science and Technology, Nara, 1994.
    • (1994) Information Science Technical Report NAIST-IS-TR94034
    • Yamashita, N.1    Fukushima, M.2
  • 15
    • 0039871154 scopus 로고
    • Unconstrained optimization reformulations of variational inequality problems
    • Nara Institute of Science and Technology, Nara, August
    • N. Yamashita, K. Taji and M. Fukushima, Unconstrained optimization reformulations of variational inequality problems, Information Science Technical Report, Nara Institute of Science and Technology, Nara, August, 1995.
    • (1995) Information Science Technical Report
    • Yamashita, N.1    Taji, K.2    Fukushima, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.