journal6 ›› 2008, Vol. 29 ›› Issue (5): 14-18.

• 数学 • 上一篇    下一篇

非线性混合变分包含的Ishikawa迭代过程与稳定性

  

  1. (重庆邮电大学应用数学研究所,重庆 400065)
  • 出版日期:2008-09-25 发布日期:2012-05-20

Ishikawa Iterative Procedure and Stability for  Nonlinear Mixed Variational Inclusions

  1. (Institute of Applied Mathematics Research,Chongqing University of Posts  and Tele Communications,Chongqing 400065,China)
  • Online:2008-09-25 Published:2012-05-20
  • About author:LI Hong-gang(1959-),male,was born in Fuling District,Chongqing City,professor;research area are nonlinear fanction analysis and graph theory.

摘要:在Banach空间中引入和研究了一类新的带(A,η)-增生映象的广义非线性混合变分包含,并证明了这种变分包含解的存在性,而且在q-一致光滑Banach空间中讨论了求解的Ishikawa迭代过程的收敛性和稳定性.

关键词: 广义非线性混合变分包含;(A,&eta, )-增生映象;稳定性;预解算子;Ishikawa迭代算法

Abstract: A new class of generalized nonlinear mixed variational inclusions involving (A,η)-accretive mappings is studied in Banach spaces,an existence  theorem of solution for this kind of variational inclusion is proved,and a new Ishikawa iterative algorithm is established,and the stability and the convergence of iterative sequences generated by the algorithm is discussed in q-uniformly smooth Banach spaces.

Key words: generalized nonlinear mixed variational inclusions, (A,&eta, )-accretive mapping, stability, resolvent operator, Ishikawa iterative procedure

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