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Banach空间上一类算子迭代不等式
引用本文:李晓培,钟吉玉.Banach空间上一类算子迭代不等式[J].湛江师范学院学报,2008,29(3):16-17.
作者姓名:李晓培  钟吉玉
作者单位:湛江师范学院数学与计算科学学院,广东,湛江,524048
基金项目:广东省自然科学基金,湛江师范学院校科研和教改项目
摘    要:本文利用非线性泛函分析的锥理论,获得了一类算子迭代的比较定理,进而给出了一类算子迭代不等式的全连续解的存在性条件.

关 键 词:迭代方程  迭代不等式  正规锥

A Class of Operator Iterative Inequality on a Banach Space
LI Xiao-pei,ZHONG Ji-yu.A Class of Operator Iterative Inequality on a Banach Space[J].Journal of Zhanjiang Normal College,2008,29(3):16-17.
Authors:LI Xiao-pei  ZHONG Ji-yu
Institution:(Mathematics and computational school, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, China)
Abstract:In this paper, the comparison theorem of a class of operator iterative inequality is obtained by the cone theory of nonlinear functional analysis, then, the existence conditions of the totally continuous solution of the operator iterative inequality are given.
Keywords:Iterative equation  Iterative inequality  regular cone
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