journal6 ›› 2009, Vol. 30 ›› Issue (4): 7-12.

• 数学 • 上一篇    下一篇

带(G,η)-单调映象的广义多值变分包含的逼近解

  

  1. (重庆邮电大学应用数学研究所,重庆 400065)
  • 出版日期:2009-07-25 发布日期:2012-04-22

Approximation Solutions for Generalized  Mulit-Valued Variational-Like Inclusions with  (G,η)-Monotone Mappings

  1. (Institute of Applied Mathematics Research,Chongqing University of Posts and Tele Communications,Chongqing 400065,China)
  • Online:2009-07-25 Published:2012-04-22
  • About author:LI Hong-gang(1959-),male,was born in Fuling City,Chongqing City,professor;research area is nonlinear analysis.

摘要:在Hibert空间中引入和研究了一类新的带(G,η)-单调映象的广义多值变分包含.利用(G,η)-单调映象的预解算子技巧,建立并讨论了这种变分包含解的存在性定理,也提出了一个新的逼近算法,证明了由此算法产生的迭代序列的收敛性.文中给出的结果改进和推广了最近文献的一些相应结果.

关键词: 广义多值变分包含, (G, &eta, )-单调映象, 预解算子技术, 逼近算法, 收敛性

Abstract: The authors  introduce    and  study   a  new  class  of  generalized   mulit-valued  variational-like  inclusions  with  (G,η)-monotone  mappings  in  Hilbert  spaces.By  using  the  resolvent operator associated with (G,η)-monotone mappings,an  existence  theorem  of  solutions  for  this  kind  of  variational  inclusions  is estaslished  a  new approximation  algorithm is suggested,and  the  convergence  of  iterative  sequences  generated  by  the algorithm is proved.The results presented in this paper generalize,improve,and unify some recent results  in this field.

Key words: generalized   , mulit-valued   , variational-like , inclusions;(G,η)-monotone mapping;resolvent operator;approximation algorithm;convergence

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