Li Hong-mei, Ding Xie-ping. Generallzed Strongly Nonlinear Quasi-Complementarlty Problems[J]. Applied Mathematics and Mechanics, 1994, 15(4): 289-296.
Citation: Li Hong-mei, Ding Xie-ping. Generallzed Strongly Nonlinear Quasi-Complementarlty Problems[J]. Applied Mathematics and Mechanics, 1994, 15(4): 289-296.

Generallzed Strongly Nonlinear Quasi-Complementarlty Problems

  • Received Date: 1992-10-17
  • Publish Date: 1994-04-15
  • Using the algorithm in this paper,we prove the existence of solutions to the generalized strongly nonlinear quasi-complementarity problems and the convergence of theiterative sequences generated by the algorithm.Our results improve and extend thecorresponding results of Noor and Chang-Huang.Moreover,a more general iterativealgorithm for finding the approximate solution of generalized strongly nonlinear quasi-complementarity problems is also given.It is shown that the approximate solution obtained by the iterative scheme converges to the exact solution of this quasi-complementarity problem.
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  • [1]
    Lemke.C.E.,Bimatrix equilibrium points and mathematical programming,Management Sci.,11(1965),681-689.
    [2]
    Cottle,R.W.and G.B.Dantzig,Complementarily pivot theory of mathematical programming,Linear Algebra Appl.,1(1968).163-185.
    [3]
    Karamardian,S..Generalized complementarily problem,J.Oprim Tlreorv Appl.,8(1971),161-168.
    [4]
    Noor,M.A.,On the nonlinear complementarily problem,J.Math.,Anal.,Appl,123(1987),455-460.
    [5]
    Chang,S.S.and N.J.Huang.Generalized mullivalued implicit complementarily problem in Hilbert space,Math.Japanica.36.6(1991)1093-1100.
    [6]
    丁协平,广义强非线性隐补问题解的存在性及迭代法,四川师范大学学报16,(4)(1993),30-36.
    [7]
    Noor,M.A.,General quasi-complementarily problems,Math.Japanica.36,1(1991).113-119.
    [8]
    Kinderlehrar,D.and G.Stampacchia,An Introduction to Variatinal Inequalities and Their Applications Acad.Press,New York(1980).
    [9]
    Noor,M.A.,An iterative scheme for a class of quasi-variational inequalities,J.Math.Anal.Appl.,110(1985),463-468.
    [10]
    Nadler,Jr.,S.B.,Multivalued contraction mappings,Pacific J.Math.,30(1969),475-488.
    [11]
    Ishikawa,S.,Fixed points by a new iterative method.Proc.Amer.Math.Soc.,44(1974).147-150.
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