数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (2): 152-158.

• 论文 • 上一篇    下一篇

AN ITERATIVE ALGORITHM FOR MAXIMAL MONOTONE MULTIVALUED OPERATOR EQUATIONS

 肖进胜, 孙乐林   

  1. School of Mathematics &|Computers, Wuhan University, Wuhan 430072, China
  • 出版日期:2001-04-07 发布日期:2001-04-07
  • 基金资助:

    Supported by the National Natural Science Foundation of China

AN ITERATIVE ALGORITHM FOR MAXIMAL MONOTONE MULTIVALUED OPERATOR EQUATIONS

 XIAO Jin-Sheng, SUN Le-Lin   

  1. School of Mathematics &|Computers, Wuhan University, Wuhan 430072, China
  • Online:2001-04-07 Published:2001-04-07
  • Supported by:

    Supported by the National Natural Science Foundation of China

摘要:

A proximal iterative algorithm for the mulitivalue operator equation 0 2 T(x) is presented, where T is a maximal monotone operator. It is an improvement of the proximal point algorithm as well know. The convergence of the algorithm is discussed and an example is given.

关键词: Iterative algorithm, maximal monotone operator, multivalued operator

Abstract:

A proximal iterative algorithm for the mulitivalue operator equation 0 2 T(x) is presented, where T is a maximal monotone operator. It is an improvement of the proximal point algorithm as well know. The convergence of the algorithm is discussed and an example is given.

Key words: Iterative algorithm, maximal monotone operator, multivalued operator

中图分类号: 

  • 47H04