模糊(Fuzzy)映象的广义补余问题<sup>*</sup>

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

模糊(Fuzzy)映象的广义补余问题^*

基金项目: * 国家自然科学基金资助课题

摘要: 本文引入一类关于模糊(Fuzzy)映象的新的广义补余问题,构造出一类新的迭代算法.我们讨论这类广义补余问题解的存在性及迭代序列的收敛性.
- Fuzzy映象 /
- 广义补问题 /
- 算法
Abstract: In this paper we introduce a new class of generalized complementarity problems for the fuzzy mappings and construct a new iterative algorithm. We also discuss the existence of solutions for the generalized complementarity problems and the convergence of iterative sequence.
- fuzzy mapping /
- generalized complementarity problem /
- algorithm

[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 complementraity problems arising from free boundary problems, Appl. 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]	Noor, M. A., Iterative methods for a class of complementarity problems, J Math. Anal. Appl., 133(1988), 366-382.
[7]	Noor, M. A., Fixed point approach for complementarity problems, J. Math. Anal. Appl., 133 (1988), 437-448.
[8]	Nadler, S. B., Jr., Multi-valued contraction mappings, Pacific J. Math., 30 (1969), 475-448.
[9]	Varga, R. S., Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, NJ(1962).
[10]	Chang Shih-sen, Fixed degree for fuzzy mappings and a generalization of Ky Fan's theorem, Fuzzy and Systems, 24(1987), 103-112.
[11]	Chang Shih-sen and Zhu Yuan-guo, On variational inequalities for fuzzy mappings, Fuzzy Sets and Systems, 30(1989).