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模糊(Fuzzy)映象的广义补余问题*

张石生 黄南京

张石生, 黄南京. 模糊(Fuzzy)映象的广义补余问题*[J]. 应用数学和力学, 1992, 13(8): 667-675.
引用本文: 张石生, 黄南京. 模糊(Fuzzy)映象的广义补余问题*[J]. 应用数学和力学, 1992, 13(8): 667-675.
Zhang Shi-sheng, Huang Nan-jing. Generalized Complementarity Problems for Fuzzy Mappings[J]. Applied Mathematics and Mechanics, 1992, 13(8): 667-675.
Citation: Zhang Shi-sheng, Huang Nan-jing. Generalized Complementarity Problems for Fuzzy Mappings[J]. Applied Mathematics and Mechanics, 1992, 13(8): 667-675.

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

Generalized Complementarity Problems for Fuzzy Mappings

  • 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.
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    [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).
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出版历程
  • 收稿日期:  1991-07-01
  • 刊出日期:  1992-08-15

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