严格伪压缩映像隐迭代格式逼近公共不动点的几何结果

doi:10.3969/j.issn.1000-1565.2005.05.002

河北大学学报(自然科学版) ›› 2005, Vol. 25 ›› Issue (5): 458-460.DOI: 10.3969/j.issn.1000-1565.2005.05.002

严格伪压缩映像隐迭代格式逼近公共不动点的几何结果

苏永福¹,顾光辉²

1.天津工业大学,理学院,天津,300160； 2.沧州师范专科学校,数学系,河北,沧州,061001

出版日期:2005-09-25 发布日期:2005-09-25
基金资助:
天津市重点学科建设基金

Geometric Results for Implicit Iteration Process Approximating Common Fixed Points of Strictly Pseudocontractive Mappings

SU Yong-fu¹,GU Guang-hui²

Online:2005-09-25 Published:2005-09-25

摘要/Abstract

摘要： 设K是Hilbert空间E中非空闭凸集,Ti:K→K是具不动点集F(Ti)的严格伪压缩映像,且F=∩1≤i≤NF(Ti)≠φ,i=1,2,3,…,N.对x0∈K与{αn}(∈)[0,1],隐迭代格式{xn}定义为xn=αnxn-1+(1-αn)Tnxn,n≥1.这里Tn=TnmodN,如果{xn}收敛于Ti的公共不动点p∈F,i=1,2,3,...,N,且xn≠p,则对任意y∈F,有lim supn→+∞(y-p,xn-p/‖xn-p‖)≤0.称这一几何结果为逼近不动点的钝角原理.

关键词: Hilbter空间, 严格伪压缩映像, 隐迭代格式, 逼近不动点, 几何结果

中图分类号:

O177.91

苏永福,顾光辉. 严格伪压缩映像隐迭代格式逼近公共不动点的几何结果[J]. 河北大学学报(自然科学版), 2005, 25(5): 458-460.

SU Yong-fu,GU Guang-hui. Geometric Results for Implicit Iteration Process Approximating Common Fixed Points of Strictly Pseudocontractive Mappings[J]. Journal of Hebei University (Natural Science Edition), 2005, 25(5): 458-460.

参考文献

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严格伪压缩映像隐迭代格式逼近公共不动点的几何结果

Geometric Results for Implicit Iteration Process Approximating Common Fixed Points of Strictly Pseudocontractive Mappings

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