数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 970-977.

• 论文 • 上一篇    下一篇

关于迭代方程的集值解

钟吉玉|李晓培*   

  1. 湛江师范学院数学与计算科学学院 广东湛江 524048
  • 收稿日期:2009-06-14 修回日期:2010-07-15 出版日期:2011-08-25 发布日期:2011-08-25
  • 通讯作者: 李晓培 E-mail:lixp27333@sina.com
  • 基金资助:

    广东省自然科学基金 (07301595)和湛江师范学院青年项目(QL0601)资助

On Set-valued Solutions of an Iterative Equation

 ZHONG Ji-Yu, LI Xiao-Pei*   

  1. Department of Mathematics, Zhanjiang Normal University, Guangdong Zhanjiang 524048
  • Received:2009-06-14 Revised:2010-07-15 Online:2011-08-25 Published:2011-08-25
  • Contact: LI Xiao-Pei E-mail:lixp27333@sina.com
  • Supported by:

    广东省自然科学基金 (07301595)和湛江师范学院青年项目(QL0601)资助

摘要:

该文主要研究了Banach空间中的二次迭代集值函数方程. 得到了非单调解的存在性和唯一性. 进而获得了解对给定函数的连续依赖性的条件.

关键词: 迭代集值函数方程, 解的存在性和唯一性, 连续依赖性

Abstract:

A second order iterative functional equation is considered for multifunction in Banach space. A result on the existence and uniqueness of its solution is presented without monotonicity. Furthermore continuous dependence of the solution upon the given function is  obtained.

Key words: Set-valued iterative equation, Existence and uniqueness of solution, Continuous dependence

中图分类号: 

  • 39B12