数学物理学报 ›› 2016, Vol. 36 ›› Issue (4): 763-770.

• 论文 • 上一篇    下一篇

关于二元函数列的分裂均衡问题系统

邓伟奇   

  1. 云南财经大学统计与数学学院 昆明 650221
  • 收稿日期:2015-10-21 修回日期:2016-03-17 出版日期:2016-08-26 发布日期:2016-08-26
  • 作者简介:邓伟奇,dwq1273@126.com
  • 基金资助:

    云南省教育厅科学研究基金一般项目(2015Y280)资助

A System of Split Equilibrium Problems for Sequences of Bifunctions

Deng Weiqi   

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221
  • Received:2015-10-21 Revised:2016-03-17 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Support by the General Science Foundation of Yunnan Province Education Depertment(2015Y280)

摘要:

旨在引入一全新方法,用以逼近关于非线性算子族的分裂公共不动点问题的解; 并借此构造迭代算法,以求解一类新型问题---关于二元函数列的分裂均衡问题系统,且于Hilbert空间背景下建立强收敛定理.

关键词: 分裂均衡问题系统, 公共不动点, Hilbert空间

Abstract:

The purpose in this paper is to introduce an up-to-date method for the approximation of an element of the set of solutions to the split common fixed point problem for countable families of nonlinear operators, by which an iterative algorithm is developed for solving a new type of problems, namely, a system of split equilibrium problems for two sequences of bifunctions. A strong convergence theorem is established in the framework of Hilbert spaces.

Key words: System of split equilibrium problems, Common fixed points, Hilbert spaces

中图分类号: 

  • O177