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Banach空间中非扩张映射不动点的粘性逼近方法
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]重庆工商大学数学与统计学院,重庆400067
  • 相关基金：国家自然科学基金项目（11001287）;重庆市教委科技研究项目（KJ110701）.
作者： 唐艳[1]
关键词： 非扩张映射, 不动点, 粘性逼近方法, 强收敛, 变分不等式, nonexpansive mappings, fixed point, viscosity approximation method, strong convergence, variational inequality
中文摘要：

本文研究了非扩张映射不动点的逼近问题的迭代方法．利用粘性逼近方法，在具有一致Gateaux可微范数的Banach空间中，获得了迭代序列的强收敛性，并说明了该序列强收敛于某变分小等式的唯一解．该方法推广了某些文献的结果．

英文摘要：

In this article, we study the iterative method for approximating the fixed point of nonexpansive mappings. Based on the viscosity iterative scheme, strong convergence of the iterative sequence is obtained in a real Banach space with a uniformly Gateaux differentiable norm. Under some suitable conditions, we prove that the iterative sequence convergence strongly to the unique solution of a variational inequality, which extends the result of some literature.

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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910