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Volumn 47, Issue 6-7, 2004, Pages 913-920

Modified fixed-point equations and related iterative methods for variational inequalities

Author keywords

Fixed point equation; Iterative method; Projection; Variational inequalities

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING; VECTORS;

EID: 2542492926     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90075-2     Document Type: Article
Times cited : (7)

References (18)
  • 2
    • 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, Math. Programming 48, 161-220, (1990).
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 4
    • 0000488063 scopus 로고
    • On linear convergence of iterative methods for the variational inequality problem
    • P. Tseng, On linear convergence of iterative methods for the variational inequality problem, J. Comput. Appl. Math. 60, 237-252, (1995).
    • (1995) J. Comput. Appl. Math. , vol.60 , pp. 237-252
    • Tseng, P.1
  • 5
    • 0003025124 scopus 로고
    • Solution of projection problems over polytopes
    • B.S. He and J. Stoer, Solution of projection problems over polytopes, Numer. Math. 61, 73-90, (1992).
    • (1992) Numer. Math. , vol.61 , pp. 73-90
    • He, B.S.1    Stoer, J.2
  • 6
    • 0000005602 scopus 로고
    • The extragradient method for finding saddle points and other problems
    • G.M. Korpelevich, The extragradient method for finding saddle points and other problems, Matecon 12, 747-756, (1976).
    • (1976) Matecon , vol.12 , pp. 747-756
    • Korpelevich, G.M.1
  • 7
    • 38249036247 scopus 로고
    • Modification of the extragradient method for solving variational inequalities and certain optimization problem
    • E.N. Khobotov, Modification of the extragradient method for solving variational inequalities and certain optimization problem, USSR Comput. Math. Phys. 27, 120-127, (1987).
    • (1987) USSR Comput. Math. Phys. , vol.27 , pp. 120-127
    • Khobotov, E.N.1
  • 8
    • 0030506603 scopus 로고    scopus 로고
    • A class of iterative methods for solving nonlinear projection equations
    • D. Sun, A class of iterative methods for solving nonlinear projection equations, J. Optim. Theory Appl. 91, 123-140, (1996).
    • (1996) J. Optim. Theory Appl. , vol.91 , pp. 123-140
    • Sun, D.1
  • 9
    • 0031443884 scopus 로고    scopus 로고
    • A variant of Korpelevich's method for variational inequalities with a new search strategy
    • A.N. lusem and B.F. Svaiter, A variant of Korpelevich's method for variational inequalities with a new search strategy, Optimization 42, 309-321, (1997).
    • (1997) Optimization , vol.42 , pp. 309-321
    • Lusem, A.N.1    Svaiter, B.F.2
  • 10
    • 0032632635 scopus 로고    scopus 로고
    • A new projection method for variational inequality problems
    • M.V. Solodov and B.F. Svaiter, A new projection method for variational inequality problems, SIAM J. Control Optim. 37, 765-776, (1999).
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 765-776
    • Solodov, M.V.1    Svaiter, B.F.2
  • 11
    • 0242530930 scopus 로고    scopus 로고
    • A new approach to the extragradient method for nonlinear variational inequalities
    • R.U. Verma, A new approach to the extragradient method for nonlinear variational inequalities, J. Inequal. Appl. 6, 407-418, (2000).
    • (2000) J. Inequal. Appl. , vol.6 , pp. 407-418
    • Verma, R.U.1
  • 12
    • 0037335897 scopus 로고    scopus 로고
    • Some recent advances in projection-type methods for variational inequalities
    • N.H, Xiu and J.Z. Zhang, Some recent advances in projection-type methods for variational inequalities, J. Comput. Appl. Math. 152, 559-585, (2003).
    • (2003) J. Comput. Appl. Math. , vol.152 , pp. 559-585
    • Xiu, N.H.1    Zhang, J.Z.2
  • 13
    • 0033165114 scopus 로고    scopus 로고
    • A modified extragradient method for general monotone variational inequalities
    • M.A, Noor, A modified extragradient method for general monotone variational inequalities, Computers Math. Applic. 38 (1), 19-24, (1999).
    • (1999) Computers Math. Applic. , vol.38 , Issue.1 , pp. 19-24
    • Noor, M.A.1
  • 14
    • 0033884548 scopus 로고    scopus 로고
    • A modified forward-backward splitting method for maximal monotone mapping
    • P. Tseng, A modified forward-backward splitting method for maximal monotone mapping, SIAM J. Control Optim. 38, 431-446, (2000).
    • (2000) SIAM J. Control Optim. , vol.38 , pp. 431-446
    • Tseng, P.1
  • 15
    • 0035452141 scopus 로고    scopus 로고
    • A new version of extragradient method for variational inequality problems
    • Y.J. Wang, N.H. Xiu and C.Y. Wang, A new version of extragradient method for variational inequality problems, Computers Math. Applic. 42 (6/7), 969-979, (2001).
    • (2001) Computers Math. Applic. , vol.42 , Issue.6-7 , pp. 969-979
    • Wang, Y.J.1    Xiu, N.H.2    Wang, C.Y.3
  • 17
    • 0000055451 scopus 로고    scopus 로고
    • Convergence properties of projection and contraction methods for variational inequality problems
    • N.H. Xiu, C.Y. Wang and J.Z. Zhang, Convergence properties of projection and contraction methods for variational inequality problems, Appl. Math. Optim. 43, 147-168, (2001).
    • (2001) Appl. Math. Optim. , vol.43 , pp. 147-168
    • Xiu, N.H.1    Wang, C.Y.2    Zhang, J.Z.3
  • 18
    • 0000880309 scopus 로고
    • On the identification of active constraints
    • J.V. Burke and J.J. More, On the identification of active constraints, SIAM J. Numer. Anal. 25, 1197-1211, (1988).
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 1197-1211
    • Burke, J.V.1    More, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.