Hilbert空间中广义强非线性拟补问题<sup>*</sup>

张石生; 黄南京

Hilbert空间中广义强非线性拟补问题^*

四川大学数学系

基金项目: * 国家自然科学基金资助的项目

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出版历程
- 收稿日期: 1989-06-17
- 刊出日期: 1990-06-15

Generalized Strongly Nonlinear Quasi-Complementarity Problems in Hilbert Spaces

Department of Mathematics, Sichuan University, Chengdu

摘要

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.

Abstract: In this paper, we introduce a new kind of generalized strongly nonlinear quasi-complementarity problems in Hilbert space and discuss the existence of solutions for this kind of problems and the convergence of sequences generated by algorithms. The results presented in this paper improve and extend a number of known results.

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参考文献(17)

[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.