Strong convergence of a general implicit algorithm for variational inequality problems and equilibrium problems and a continuous representation of nonexpansive mappings

Authors

1 Isfahan university

2 isfahan university

Abstract

We introduce a general implicit algorithm for finding a common element of‎
‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎
‎of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. ‎Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the solution of systems of equilibrium‎
‎problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎.

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Bulletin of the Iranian Mathematical Society
Volume 40, Issue 4 - Serial Number 4
August 2014
Pages 977-1001

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History

  • Receive Date: 09 December 2012
  • Revise Date: 16 July 2013
  • Accept Date: 16 July 2013

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