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Paper IPM / M / 11959  


Abstract:  
Let X be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence x_{n}=λ_{n}f(x_{n})+(1−λ_{n})T_{n}x_{n}, where λ_{n} ∈ (0, 1), T_{n} is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping. Strong convergence of the sequence {x_{n}} is proved.
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