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Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces

โœ Scribed by Wataru Takahashi; Gang-Eun Kim


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
348 KB
Volume
32
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


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Let C be a closed, convex subset of a uniformly convex Banach space whose norm is uniformly Ga^teaux differentiable and let T be an asymptotically nonexpansive mapping from C into itself such that the set F(T ) of fixed points of T is nonempty. In this paper, we show that F(T ) is a sunny, nonexpans

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Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T : K โ†’ E be a nonexpansive non-self map with n 1, where { n } and { n } are real sequences in [ , 1 -] for some โˆˆ (0, 1). ( 1) If the dual E \* of E has the

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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.