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Convergence to common fixed points of averaged mappings without commutativity assumption in Hilbert spaces

โœ Scribed by Yonghong Yao; Rudong Chen

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
168 KB
Volume
67
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We introduce a new iteration scheme for averaged mappings in Hilbert spaces and prove that the iterates converge strongly to common fixed points of the mappings. The main theorem extends a recent result of Shimizu and Takahashi [T. Shimizu, W. Takahashi, Strong convergence to common fixed points of families of nonexpansive mappings,

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