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Convergence of the iteration of Halley’s family and Smale operator class in Banach space

✍ Scribed by Xinghua Wang

Publisher
SP Science China Press
Year
1998
Tongue
English
Weight
457 KB
Volume
41
Category
Article
ISSN
1674-7283

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Strong convergence theorems for the impl
Strong convergence theorems for the implicit iteration process for a finite family of hemicontractive mappings in Banach space
✍ Huimin He; Xinshe Wang; Rudong Chen; Nenad Cakic 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 325 KB

The purpose of this work is to study the following implicit iteration scheme where T n = T nmodN , and to prove several strongly convergent theorems of the iteration for a finite family of hemicontractive mappings in Banach space. Our results extend a recent result of Haiyun Zhou [Haiyun Zhou, Conv