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Dual convergences of iteration processes for nonexpansive mappings in Banach spaces

Jong Soo Jung, Daya Ram Sahu (2003)

Czechoslovak Mathematical Journal

In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.

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