Banach空间强伪压缩映象族和φ-强伪压缩映象族的隐迭代序列的收敛性

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摘要研究了实Banach空间伪压缩和φ-强伪压缩映象族的隐迭代序列的收敛性,所得结果推广了Xu[2],Chen[7]和Osilike[5]的相应结论。

作者赵彦青

机构地区忻州师范学院数学系

出处《运城学院学报》 2009年第2期22-24,共3页 Journal of Yuncheng University

关键词隐迭代过程 BANACH空间强伪压缩映象 φ-强伪压缩映象公共不动点

参考文献7

1Xu H K,Ori R G.An implicit iteration process for nonexpansive mappings[].Numerical Functional Analysis and Optimization.2001
2Osilike M O.Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps[].Journal of Mathematical Analysis and Applications.2004
3Bauschke,H. H.The Approximation of Fixed Points of Compositions of Nonexpansive Mappings in Hilbert Spaces[].Journal of Mathematical.1996
4Zhou Y,Chang S S.Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces[].Numer Funct Anal Appl.2002
5W.Takahashi,T.Tamura,M.Toyoda.Approximationof common fixed point of a finite family of nonexpasive map-pings in Banach spaces[].SciMathJpn.2002
6C.E.Chidume,N.Shahzad.Strong convergence of an implicit iteration process for a finite fanmily of nonexpansive mappings[].Nonlinear Analysis.2005
7Chen R,Song Y,Zhou H.Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings[].Journal of Mathematical Analysis and Applications.2006

运城学院学报

2009年第2期

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