Hilbert空间中关于松弛协强制映射的广义变分不等式组

  • 张玉敏 ,
  • 张国春 ,
  • 刘英
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  • 1.河北金融学院 管理系,河北保定,071051; 2.河北大学 数学与计算机学院,河北保定,071002

网络出版日期: 2012-09-25

基金资助

国家自然科学基金资助项目,河北省自然科学基金资助项目

System of generalized variational inequalities for relaxed cocoercive mappings in Hilbert spaces

  • ZHANG Yumin ,
  • ZHANG Guochun ,
  • LIU Ying
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Online published: 2012-09-25

摘要

引入了一类新的关于松驰协强制映射的广义变分不等式组,通过用度量投影的方法证明了这类广义变分不等式组解的存在性和唯一性,而且建立了一类新的算法来逼近这一不等式组的解,同时讨论了该算法的收敛性,使得近期相关结果成为所得结果的特殊情况.

本文引用格式

张玉敏 , 张国春 , 刘英 . Hilbert空间中关于松弛协强制映射的广义变分不等式组[J]. 河北大学学报(自然科学版), 2012 , 32(5) : 453 -457 . DOI: 10.3969/j.issn.1000-1565.2012.05.002

参考文献

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