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On the fixed points of affine nonexpansive mappings

Let K be a closed convex bounded subset of a Banach space X and let T:K→K be a continuous affine mapping. In this note, we show that (a) if T is nonexpansive then it has a fixed point, (b) if T has only one fixed point then the mapping A=(I+T)/2 is a focusing mapping; and (c) a continuous mapping S:...

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Auteur principal: Hülya Duru
Format: Artigo
Langue:Inglês
Publié: Wiley 2001-01-01
Collection:International Journal of Mathematics and Mathematical Sciences
Accès en ligne:http://dx.doi.org/10.1155/S016117120100638X
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