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非线性混合变分包含的Ishikawa迭代过程与稳定性

李红刚

吉首大学学报(自然科学版)2008,Vol.29Issue(5):14-18,5.
吉首大学学报(自然科学版)2008,Vol.29Issue(5):14-18,5.

非线性混合变分包含的Ishikawa迭代过程与稳定性

Ishikawa Iterative Procedure and Stability for Nonlinear Mixed Variational Inclusions

李红刚1

作者信息

  • 1. 重庆邮电大学应用数学研究所,重庆,400065
  • 折叠

摘要

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.

关键词

广义非线性混合变分包含/(A,η)-增生映象/稳定性/预解算子/Ishikawa迭代算法

Key words

generalized nonlinear mixed variational inclusions/(A,η)-accretive mapping/stability/resolvent operator/Ishikawa iterative procedure

分类

数理科学

引用本文复制引用

李红刚..非线性混合变分包含的Ishikawa迭代过程与稳定性[J].吉首大学学报(自然科学版),2008,29(5):14-18,5.

吉首大学学报(自然科学版)

1007-2985

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