PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Two projection-type algorithms for pseudo-monotone variational inequalities

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Two projection-type algorithms, different from the ones presented by Solodov & Tseng (1996) and He (1997) in the computation of stepsize, for solving pseudo-monotone variational inequality problems are presented. It is shown that the algorithms are globally convergent and, in addition, they are convergent R-linearly or Q-linearly under some mild conditions.
Rocznik
Strony
157--165
Opis fizyczny
Bibliogr. 16 poz., wzory
Twórcy
autor
  • Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian, China
autor
  • Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian, China
Bibliografia
  • [1] O. Arino: A note on the Discrete Lyapunov Function... Jornal of Differential Equations, 104(1), (1993), 169-181.
  • [2] B. C. Eaves: On the basic theorem of complementarity. Math. Programming, 1 (1971), 68-75.
  • [3] F. M. Gafni and D. P. Bertsekas: Two-metric projection methods for constrained optimizition. SIAM J. Control Optim., 22 (1984), 936-964.
  • [4] P. T. Harker and J. S. Pang: Finite dimensional variational inequality and non-linear complementarity problems: a survey of theory, algorithms and applications. Math. Programming, 48 (1990). 161-220.
  • [5] B. He: A class of projection and contraction methods for monotone variational inequalities. Appl. Math. Optim., 35 (1997), 69-76.
  • [6] B. He: A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming. Appl. Math. 25 (1992), 247-262.
  • [7] B. He: A new method for a class of linear variational inequalities. Math. Programming, 66 (1994), 137-144.
  • [8] S. Karamardian and S. Schaible: Seven kinds of monotone maps. J. Optim. Theorey and Appl., 66 (1990), 37-46.
  • [9] Z. Luo, O. L. Mangasarian, J. Ren, and M. V. Solodov: New error bounds for the linear complementarity problem. Math. Open Res., 19 (1994), 880 892.
  • [10] Z. Luo and J. S. Pang: Error bounds for analytic systems and their applications. Math. Programming, 67 (1994), 1-28.
  • [11] Z. Luo and P. Tseng: Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem. SIAM J. Optim., 2 (1992), 43-54.
  • [12] J. M. Ortega and W. C. Rheinboldt: Iterative solution of nonlinear equations in several variables. Academic Press, New York, 1970.
  • [13] J. S. Pang and D. Chan: Iterative methods for variational inequality and complementarity problems. Math. Programming, 24 (1982), 284-313.
  • [14] M. V. Solodov and P. Tseng: Modified projection-type methods for monotone variational inequalities. SIAM J. Control Optim., 34 (1996), 1814-1830.
  • [15] D. Sun: A projection and contraction method for the nonlinear complementarity problem and its extensions. Math. Numer. Sinica, 16 (1994), 183-194.
  • [16] P. Tseng: On linear convergence of iterative methods for the variational inequality problem. J. Comput. Appl Math., 60 (1995), 237-252.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW9-0011-2083
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.