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Convergence to common fixed points of a finite family of nonexpansive mappings

โœ Scribed by Yasunori Kimura; Wataru Takahashi; Masashi Toyoda

Publisher
Springer
Year
2005
Tongue
English
Weight
123 KB
Volume
84
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES

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We introduce iteration schemes for families of nonexpansive mappings in Hilbert spaces, and prove that the iterates converge strongly to common fixed points of the mappings.

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Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E, which is also a nonexpansive retract of E with nonexpansive retraction P. for some ฮด โˆˆ (0, 1). Some strong and weak convergence theorems of {x n } to some q โˆˆ F are obtained under some suitable conditions i