随机1-集压缩型算子方程的几个定理

陈晓莉; 朱传喜; 吴照奇

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随机1-集压缩型算子方程的几个定理

更新时间：2025-12-08

- 随机1-集压缩型算子方程的几个定理
- Issue 2, Pages: 241-244(2007)
- 作者机构：
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  CLC： O211.5
- Online First：10 February 2007，
  
  Published：2007
- 稿件说明：
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陈晓莉, 朱传喜, 吴照奇. 随机1-集压缩型算子方程的几个定理[J]. 2007, (2): 241-244.
DOI：

陈晓莉, 朱传喜, 吴照奇. 随机1-集压缩型算子方程的几个定理[J]. 2007, (2): 241-244. DOI：

摘要

利用凹函数、凸函数、凹泛函和凸泛函的性质

研究了几类边界条件由凹(凸)函数、凹(凸)泛函和单调函数控制下的随机1-集压缩型算子方程随机解的存在情况

所得结果推广了著名的Alt-man定理以及朱传喜和李国祯文中的一些定理.

Abstract

The characteristics of concave function and convex function are considered

the random solution existence of random 1-set contractive operator equations whose boundary conditions are governed by concave function

convex function or monotone function is investigated. The conclusions expand the famous Altman theorem and those in Zhu's and Li's.

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