数学物理学报 ›› 2014, Vol. 34 ›› Issue (5): 1254-1263.

• 论文 • 上一篇    下一篇

分层变分包含问题中经由分层不动点途径的黏性方法

邓伟奇   

  1. 云南财经大学统计与数学学院 昆明 650221
  • 收稿日期:2013-04-26 修回日期:2014-06-13 出版日期:2014-10-25 发布日期:2014-10-25
  • 基金资助:

    国家自然科学基金(11061037)和云南财经大学科学研究基金一般项目(YC2013A02)资助

Viscosity Method for Hierarchical Fixed Point Approach to Hierarchical Variational Inclusion Problems

 DENG Wei-Qi   

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming  650221
  • Received:2013-04-26 Revised:2014-06-13 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11061037)和云南财经大学科学研究基金一般项目(YC2013A02)资助

摘要:

基于一原创技术---指标选取法, 以黏性法分层逼近可数族非线性映射之公共不动点. 并于适当条件下得一强收敛定理, 用以解决Hilbert空间背景下之分层变分包含问题.

关键词: 分层不动点, 黏性逼近, 分层变分包含, 预解算子

Abstract:

Based on an original technique, i.e., a special way of choosing the indexes of involved mappings, we utilize a viscosity method for hierarchically approximating common fixed points of a kind of countable families of nonlinear mappings;
under suitable conditions, a strong convergence theorem is obtained for solving the hierarchical variational inclusion problems in the setting of Hilbert spaces.

Key words: Hierarchical fixed point, Viscosity approximation, Hierarchical variational inclusion, Resolvent operator

中图分类号: 

  • 49J40