Some Problems in the Z-C-X Space

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...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and mechanics 2002-08, Vol.23 (8), p.942-947
Main Author: ZHU Chuan-xi(朱传喜)
Format: Article
Language:English
Subjects:
1-set
Banach
continuous
contractive
operator
random
real
semiclosed
separable
solution
space
Z-C-X
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02437799