An iterative process for a finite family of pseudocontractive mappings

The purpose of this paper is to study the following implicit iteration scheme recently introduced by Xu and Ori [ Numer. Funct. Anal. Optim. , 22 , (2001) 767–773]: and to prove several strongly and weakly convergent theorems of the iteration for a finite family of pseudocontractive mappings under c...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 25; no. 2; pp. 293 - 298
Main Author Song, Yi Sheng
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.02.2009
Springer Nature B.V
Subjects
Banach spaces
Hilbert space
Mathematics
Mathematics and Statistics
47H10
Pseudocontractive mappings
common fixed points
47H05
47H17
strong and weak convergence
implicit iteration process
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Summary:The purpose of this paper is to study the following implicit iteration scheme recently introduced by Xu and Ori [ Numer. Funct. Anal. Optim. , 22 , (2001) 767–773]: and to prove several strongly and weakly convergent theorems of the iteration for a finite family of pseudocontractive mappings under condition α n ∈ (0, b ] ⊂ (0, 1).
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-008-6447-2