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Paper IPM / M / 11959 |
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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 xn=λnf(xn)+(1−λn)Tnxn, where λn ∈ (0, 1), Tn is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping. Strong convergence of the sequence {xn} is proved.
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