伪压缩和单调映射迭代法的强收敛定理(英文)  

A Strong Convergence Theorem of Iterative Process for Pseudocontractive and Monotone Mappings

作　　者：张丽娟[1] 佟慧[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《应用数学》2014年第3期691-698,共8页Mathematica Applicata

基　　金：Supported by the NSF of Hebei Province(A2012201054);the NSF of China(11201110);the NSFY of Hebei Province(Y2012021)

摘　　要：本文在Hilbert空间中研究有限个伪压缩映射,严格伪压缩映射和单调映射产生的变分不等式的迭代算法,获得伪压缩映射不动点集和变分不等式解的公共元素的强收敛定理,扩展了许多作者的相关研究.In this paper,we introduce an iterative scheme for finding a common element of fixed points of a finite family of pseudocontractive mappings,fixed points of strictly pseudocon-tractive mappings,solutions of variational inequality problem for monotone mappings.A strong convergence theorem is established in a Hilbert space under suitable conditions.The result extends the corresponding result of many others.

关 键 词：伪压缩映射 非扩张映射 单调映射 变分不等式 

分 类 号：O177.91[理学—数学]