Strong convergence for variational inequalities and equilibrium problems and representations

author

  • E. Soori Department of Mathematics, University of Isfahan, Isfahan, Iran.
Abstract:

We introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for a minimization problem and is also a common xed point for a sequence of nonexpansive mappings and a representation of nonexpansive mappings.

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Journal title

volume 5  issue 4

pages  341- 354

publication date 2013-12-01

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