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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 4, Number 3 (2014)

Adv. Fixed Point Theory 4 (2014), 325–343

An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems

Lijuan Zhang, Hui Tong

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Abstract

In this paper, we introduce a viscosity iterative scheme for finding a common element of the set of common fixed points of a one-parameter nonexpansive semigroup, the set of solutions to variational inclusions and the set of solutions to generalized equilibrium problems in a real Hilbert space. Strong convergence theorems for the common element are obtained.

Published
17 July 2014
Volume
4 (2014)
License
CC BY 3.0

Copyright © 2014 Lijuan Zhang, Hui Tong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

L. Zhang, H. Tong, An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems, Adv. Fixed Point Theory 4 (2014), 325–343.

BibTeX
@article{Zhang2014,
  author  = {Zhang, Lijuan and Tong, Hui},
  title   = {An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems},
  journal = {Adv. Fixed Point Theory},
  volume  = {4},
  year    = {2014},
  pages   = {325--343},
  doi     = {}
}