| SOME PROBLEMS IN THE Z-C-X SPACE |
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| 引用本文： | 朱传喜. SOME PROBLEMS IN THE Z-C-X SPACE[J]. 应用数学和力学(英文版), 2002, 23(8) |
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| 作者姓名： | 朱传喜 |
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| 作者单位： | ZHU Chuan_xi (1 Research Center for Applied Mathematics and Institute of Information and System Science，Xi'an Jiaotong University，Xi'an 710049，P R China; 2 Institute of Mathematics，Nanchang University，Nanchang 330029，P R China |
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| 基金项目： | theNaturalScienceFoundationofJiangxiProvince ( 0 0 1 1 0 2 2 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｉｓａｃｏｎｔｉｎｕａｔｉｏｎｏｆＲｅｆ.[1 ]ｂｙｔｈｅａｕｔｈｏｒ,ｉｔｉｓｏｎｅｏｆｔｈｅｍａｉｎｃｏｎｔｅｎｔｓａｂｏｕｔｉｎｖｅｓｔｉｇａｔｉｎｇｒａｎｄｏｍｓｏｌｕｔｉｏｎｓｏｆｒａｎｄｏｍｏｐｅｒａｔｏｒｅｑｕａｔｉｏｎｓ.Ｔｈｒｏｕｇｈｏｕｔｔｈｉｓｐａｐｅｒｌｅｔ(Ｅ ,Ｂ)ｂｅａｍｅａｓｕｒａｂｌｅｓｐａｃｅ ,ｗｈｅｒｅＥｉｓａｓｅｐａｒａｂｌｅｒｅａｌＢａｎａｃｈｓｐａｃｅ ,Ｂｄｅｎｏｔｅｓｔｈｅσ＿ａｌｇｅｂｒａｏｆｇｅｎｅｒａｔｉｎｇｂ…
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Some Problems in the Z-C-X Space |
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| ZHU Chuan_xi. Some Problems in the Z-C-X Space[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(8) |
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| Authors: | ZHU Chuan_xi |
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| Abstract: | 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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| Keywords: | Z_C_X space separable real Banach space random semiclosed 1_set_contractive operator random solution random continuous operator |
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