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Φ-压缩条件下6个映象的公共不动点定理
  • ISSN号：1000-0887
  • 期刊名称：《应用数学和力学》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]上海师范大学数理学院,上海200234
  • 相关基金：国家自然科学基金（10771141）
作者： 张丹[1]
关键词： k-严格伪压缩映像, 平衡问题, α-逆强单调映像, 变分不等式, k-strict pesudocontractive mapping, equilibrium problem, α-inverse-strongly mono- tone mapping, variational inequality
中文摘要：

存Hilbert空间中提出一种新的迭代算法，用于寻求带扰动映像的广义平衡问题与k－严格伪压缩映像的不动点问题的公共解．此外，证明了由此迭代算法生成的序列的强收敛件．所得到的结果，推广并改进了最近一些人所发布的新结果．

英文摘要：

The main purpose of this paper common element of the set of the solutions mapping and the set of the fixed points of is to propose a new iterative algorithm for finding a of a generalized equilibrium problem with perturbed a k-strict pseudocontractive mapping in the Hilbert space. Further more, the strong convergence of the sequence generated by this iterative algorithm is proved. The results presented extend and improve the corresponding results announced by many others.

同期刊论文项目
　非线性算子方程与变分不等式解的迭代算法研究
期刊论文 34
具广义单调性的最优化问题与不动点问题的理论与算法
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期刊信息
  • 《应用数学和力学》
  • 中国科技核心期刊
  • 主管单位:重庆交通大学
  • 主办单位:重庆交通大学
  • 主编：钟万勰
  • 地址：重庆南岸区重庆交通大学90信箱
  • 邮编：400074
  • 邮箱：applmathmech@cqjtu.edu.cn
  • 电话：023-62652450
  • 国际标准刊号：ISSN：1000-0887
  • 国内统一刊号：ISSN：50-1060/O3
  • 邮发代号:78-21
  • 获奖情况:
  • 国际工程索引（EI）收录期刊,我国力学类核心期刊,中国期刊方阵“双效”期刊
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  • 被引量:8965