Fixed Point Theory and Applications (Dec 2008)

Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings

  • Chang-Wen Zhao,
  • Nan-Jing Huang,
  • Wei-You Zeng

DOI
https://doi.org/10.1155/2008/714939
Journal volume & issue
Vol. 2008

Abstract

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We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theorem under some suitable conditions.