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Hilbert空间中广义强非线性拟补问题*

张石生 黄南京

张石生, 黄南京. Hilbert空间中广义强非线性拟补问题*[J]. 应用数学和力学, 1990, 11(6): 483-488.
引用本文: 张石生, 黄南京. Hilbert空间中广义强非线性拟补问题*[J]. 应用数学和力学, 1990, 11(6): 483-488.
Zhang Shi-sheng, Huang Nan-jing. Generalized Strongly Nonlinear Quasi-Complementarity Problems in Hilbert Spaces[J]. Applied Mathematics and Mechanics, 1990, 11(6): 483-488.
Citation: Zhang Shi-sheng, Huang Nan-jing. Generalized Strongly Nonlinear Quasi-Complementarity Problems in Hilbert Spaces[J]. Applied Mathematics and Mechanics, 1990, 11(6): 483-488.

Hilbert空间中广义强非线性拟补问题*

基金项目: * 国家自然科学基金资助的项目

Generalized Strongly Nonlinear Quasi-Complementarity Problems in Hilbert Spaces

  • 摘要: 本文在Hilbeft空间中引入一类新的广义强非线性拟补问题,并讨论这类问题解的存在性及由算法所构造的序列的收敛性.本文所得结果改进和推广了许多已知的结果.
  • [1] Lemke,C.E.,Bimatrix equilibrium points and mathematical programming,Management Sci.,11(1965),681-689.
    [2] Cottle,R.W.and G.B.Dantzig,Complementarity pivot theory of mathematical programming,Linear Algebra Appl.,1(1968),103-125.
    [3] Lin,Y.and C.W.Cryer,An alternating direction implicit algorithm for the solution of linear complementarity problems arising from boundary problems,A ppl.Math.Optim.,13(1985),1-17.
    [4] Cottle,R.W.,Complementarity and variational problems,Sympos.Math.,19(1976),177-208.
    [5] Crank,J.,Free and Moving Boundary Problems,Oxford Univ.Press,London(1984).
    [6] Pang,J.S.,On the convergence of a basic iterative method for the implicit complementarity problems,J.Optim.Theory Appl.,37(1982),149-162.
    [7] Pang,J.S.,The Implicit Complementarity Problem in Nonlinear Programming 4,Ed by O.L.Mangasarian,R.Meyer and S.M.Robinson,Academic Press,New York/London(1981),47-518.
    [8] Noor,M.A.,Generalized quasi-complementarity problem,J.Math.Anal.Appl.,120(1980),321-327.
    [9] Noor,M.A.,Iterative method for quasi-complementarity problems,Methods Oper.Res.,56(1986),75-83.
    [10] Noor,M.A.,The quasi-complementarity problem,J.Math.Anal.Appl.,130(1988),344-353.
    [11] Noor,M.A.and S.Zarae,Linear quasi-complementarity problems,Utilitas Math.,27(1985),249-260.
    [12] Noor,M.A.,On the nonlinear complementarity problem,J.Math.A nal.A ppl.,123(1987),455-460.
    [13] Noor,M.A.,Iterative methods for a class of complementarity problems,J.Math.Anal Appl.,133(1988),366-382.
    [14] Noor,M.A.,Fixed point approach for complementarity problems,J.Math.Anal.App.,133(1988),437-448.
    [15] Noor,M.A.,On variational inequalities,Ph.D.Thesis,Brunei Univ.U.K.(1975).
    [16] Noor,M.A.,An iterative scheme for a class of quasi variational inequalities,J.Math.Anal.Appl.,110(1985),463-468.
    [17] Nalder,S.B.,Jr.,Multi-valued contraction mappings,Pacific J.Math.,30(1969),475-488.
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出版历程
  • 收稿日期:  1989-06-17
  • 刊出日期:  1990-06-15

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