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Paper   IPM / M / 11959
School of Mathematics
  Title:   Viscosity approximation to common fixed points of families of nonexpansive mappings with weakly contractive mappings
  Author(s):  A. Razani (joint with S. Homaeipour)
  Status:   Published
  Journal: Fixed Point Theory and Applications
  Year:  2010
  Pages:   DOI: 10.1155/2010/476913
  Supported by:  IPM
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 xnnf(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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