Strong convergence for variational inequalities and equilibrium problems and representations
الموضوعات : مجله بین المللی ریاضیات صنعتی
E. Soori
1
(Department of Mathematics, University of Isfahan, Isfahan, Iran.)
الکلمات المفتاحية: representation, Equilibrium problem, fixed point, Nonexpansive mapping, Variational
, 
, inequality,
ملخص المقالة :
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.
