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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