ZHU Chuan-xi. Some Problems in the Z-C-X Space[J]. Applied Mathematics and Mechanics, 2002, 23(8): 837-842.
Citation: ZHU Chuan-xi. Some Problems in the Z-C-X Space[J]. Applied Mathematics and Mechanics, 2002, 23(8): 837-842.

Some Problems in the Z-C-X Space

  • Received Date: 2001-03-30
  • Rev Recd Date: 2002-04-23
  • Publish Date: 2002-08-15
  • The new concepts of the Z-C-X space and excellent cone are introduced.Some problems of random semiclosed 1-set-contractive operator are investigated in the Z-C-X space.At first,an important inequality is proved.Secondly,several new conclusions are proved by means of random fixed point index in the theory of random topological degree.A random solution of a class of random operator equations under conditions of imitating the parallelogram law is obtained,famous Altman.s theorem is generalized in partially ordered Z-C-X space.Therefore,some new results are obtained.
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  • [1]
    朱传喜. 随机半闭1-集压缩算子的几个定理[J]. 数学学报,1999,42(3):501-504.
    [2]
    李国桢. 随机1-集压缩算子的随机不动点指数和随机不动点定理[J]. 应用数学学报,1996,19(2):203-212.
    [3]
    朱传喜. 关于随机算子方程的随机解[J]. 数学进展,1997,26(5):429-434.
    [4]
    王梓坤. 随机泛函分析引论[J]. 数学进展,1962,5(1):45-71.
    [5]
    张石生. 不动点理论及应用[M]. 重庆:重庆出版社,1984.
    [6]
    郭大钧. 非线性泛函分析[M]. 济南:山东科学技术出版社,1985.
    [7]
    LI Guo-zhen. The fixed point index and the fixed point theorems of 1-set-contractive mappings[J]. Proc Amer Math Soc,1988,104(4):1163-1170.
    [8]
    朱传喜. 概率度量空间中若干新的不动点定理[J]. 应用数学和力学,1995,16(2):165-171.
    [9]
    朱传喜. X-M-PN空间中的若干定理[J]. 应用数学和力学,2000,21(2):161-163.
    [10]
    朱传喜. 1-集压缩型随机算子方程的若干定理[J]. 数学进展,1998,27(5):464-468.
    [11]
    Amann H. On the number of solutions of nonlinear equations in ordered Banach spaces[J]. J Funet Anal,1972,11(2):346-384.
    [12]
    LIU Li-shan. Some random approximations and random fixed point theorems for 1-set-contractive random operators[J]. Proc Amer Math Soc,1997,125(2):512-521.
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