Strong convergence for variational inequalities and equilibrium problems and representations
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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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