周海云.Banach空间中φ-半压缩型映象不动点的迭代逼近[J].数学研究及应用,2001,21(2):237~240
Banach空间中φ-半压缩型映象不动点的迭代逼近
Iterative Approximation of Fixed Points of φ-Hemicontractive Maps in Banach Spaces
投稿时间:1997-10-20  
DOI:10.3770/j.issn:1000-341X.2001.02.014
中文关键词:  hikawe迭代  φ-半压缩映象  φ-强拟增生映象  Reicb不等式  一致光滑Bamach空间  误差项.
英文关键词:Ishikawa iteration  φ-hemicontraction  φ- strongly quasi-accretive mapping  Reich's inequality  uniforrmly smooth Banach space  errors.
基金项目:
作者单位
周海云 军械工程学院应用数学与力学研究所河北石家庄 050003 
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中文摘要:
      设X为实一致光滑Banach空间,K为X的非空凸子集满足K+K?K.设T:K→K为有界φ-半压缩映象.设{vnn=0,{vnn=0为K中的序列,{αnn=0,{βnn=0为[0,1]中的实数列满足(?)若{Tyn
英文摘要:
      Let X be a real uniformly smooth Banach space, K a nonempty subset of X such that K+K?K. Let T:K→K be a bounded φ-hemicontractive map. Let {unn=0 and {vnn=0 be two sequences in K and {αnn=0 and {βnn=0 be two real sequences in[0,1)satisfying (?) If {Tyn}is bounded, then{xn}converges strongly to the unique fixed point of T. Some related results are deduced.
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