## Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces.(English)Zbl 0947.47049

Let $$E$$ be a reflexive Banach space with uniformly Gâteaux differentiable norm, $$C$$ a closed convex subset of $$E$$ and $$T: C\to C$$ be a nonexpansive mapping (or $$T: C\to E$$). In both cases the existence of fixed points is expressed in terms of strong convergence theorems.

### MSC:

 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.
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### References:

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