Asymptotic Behaviour of Almost Orbits of Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces |
Received:November 01, 1993 |
Key Words:
almost orbit asymptotically nonexpansive mapping weakly almost convergent.
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Abstract: |
Let X be a uniformly convex Banach space with a Fréchet differentiable norm, C a bounded closed convex subset of X and T:C→C an asymptotically nonexpansive mapping. It is shown that if {xn:n≥1} is an almost orbit of T, then the sequence {x n} is weakly almost convergent to the unique point of the set ∩from∞to (n=1) co {xi:i≥n}∩F(T), where F(T) is the fixed point set of T. |
Citation: |
DOI:10.3770/j.issn:1000-341X.1998.01.017 |
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