Iterative Algorithms for Families of Variational Inequalities Fixed Points and Equilibrium Problems
نویسندگان
چکیده
We introduce an iterative algorithm for finding a common element of the set of fixed points for an infinite family of nonexpansive mappings, the set of solutions of the variational inequalities for a family of α-inverse-strongly monotone mappings and the set of solutions of a system of equilibrium problems in a Hilbert space. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. Moreover, we apply our result to the problem of finding a common fixed point of a family of strictly pseudocontractive mappings.
منابع مشابه
Iterative algorithms for families of variational inequalities fixed points and equilibrium problems
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