Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

iterative methods for equilibrium problems, variational inequalities and fixed points

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Parallel hybrid iterative methods for variational inequalities, equilibrium problems and common fixed point problems

In this paper we propose two strongly convergent parallel hybrid iterative methods for finding a common element of the set of fixed points of a family of asymptotically quasi φ-nonexpansive mappings, the set of solutions of variational inequalities and the set of solutions of equilibrium problems in uniformly smooth and 2-uniformly convex Banach spaces. A numerical experiment is given to verify...

Iterative Algorithms for Families of Variational Inequalities Fixed Points and Equilibrium Problems

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 t...

Strong convergence for variational inequalities and equilibrium problems and representations

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 ...