期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类隐式拟变分不等式与非扩张映象的公共解的三步迭代算法

Three-step iterative algorithm for the common solution of a class of implicit quasi-variational inequalities and nonexpansive mappings
下载PDF
导出
摘要 研究了一类隐式拟变分不等式与非扩张映象公共解的逼近问题;构造了求解这类隐式拟变分不等式与3个非扩张映象公共解的三步迭代算法;在一定条件下,证明了由该算法生成的迭代序列的收敛性. It was studied the approximation of the common solution for a class of implicit quasi-variational inequalities and fixed point of nonexpansive mappings. Three-step iterative algorithm was constructed for finding common element of the set of common fixed point of three nonexponsive mappings and the solution set of the implicit quasi-variational inequalities in Hilbert spaces under some suitable conditions.
作者 孙国祥
机构地区 浙江海洋学院萧山科技学院
出处 《浙江师范大学学报（自然科学版）》 CAS 2010年第3期277-280,共4页 Journal of Zhejiang Normal University:Natural Sciences
关键词 非扩张映象 公共解 三步迭代算法 收敛性 nonexpansive mapping common solution three-step iterative algorithm convergence
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献7

  • 1Cottle R W,Pang Jongshi,Stone R E.The Linear Complementarity Problem[M].London:Academic Press,1992.
  • 2Isac G.Complementarity Problems[M].Berlin:Springer-Verlag,1993.
  • 3Facchinei F,Pang Jongshi.Finite-Dimensional Variational Inequalities and Complementarity Problems[M].New York:Springer-Verlag,2003.
  • 4Ding Xueping.Predictor-corrector iterative algorithms for solving nonlinear mixed variational-like inequalities[J].J Sichuan Normal Univ,2003,26(1):1-5.
  • 5Noor M A.New approximation schemes for general variational inequalities[J].J Math Anal Appl,2000,251(1):217-229.
  • 6Noor M A,Huang Zhenyu.Three-step methods for nonexpansive mappings and variational inequalities[J].Appl Math Comput,2007,187(2):680-685.
  • 7邓传现,黄发伦.一类新的几乎渐近非扩张型映象不动点的三步迭代逼近问题[J].四川大学学报（自然科学版）,2007,44(6):1153-1159. 被引量：3

二级参考文献8

  • 1Goebel K, Kirk K. A fixed point theorem for asymptotically nonexpansive mappings [J ]. Proc Amer Math Soc, 1972,35(1):171.
  • 2Kirk W. A fixed point theorem of non-lipscitzian mappings of asymptotically nonexpansive type[J ]. Israel J Math, 1974,35:339.
  • 3Chang S S. On the approximation of fixed points for asymptotically nonexpansive mappings[J ]. Indian Pure Appl Math, 2001,32(9) :1297.
  • 4He C, Sun Z H. On the convergence problem of itera tive with errors for asymptotically nonexpansive tyep [J]. J Sichuan University: Nat Sci Ed, 2003,4:199.
  • 5Tan K K, Xu H K. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process [J]. J Math Anal Appl, 1993,178:301.
  • 6Xu H K. Inequalities in Banach spaces with applications [J ]. Nonlinear Analysis, 199I, 16(2) : 1127.
  • 7Petryshyn W V. A characterization of strictly comvexity of Banach spaces and other uses of duality mappings[J]. J Func Anal,1970,6:282.
  • 8曾六川.Banach空间中几乎渐近非扩张型映象的不动点的迭代逼近[J].应用数学和力学,2003,24(12):1258-1266. 被引量：7

共引文献2

浙江师范大学学报（自然科学版）
2010年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部