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Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces

✍ Scribed by Jong Soo Jung

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
186 KB
Volume
66
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Strong convergence theorems for nonexpan
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In this paper, we study boundary conditions for nonexpansive nonself-mappings in a Banach space. Using this, we prove two strong convergence theorems for nonexpansive nonself-mappings in a Banach space without boundary conditions.

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The purpose of this paper is to study Reich's strongly convergence theorems for asymptotically nonexpansive mappings in Banach spaces. Under some general conditions an affirmative partial answer to Reich's open question is given and some recent results are improved and generalized.

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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