NONLINEAR ALGORITHMS FOR A COMMON SOLUTION OF A SYSTEM OF VARIATIONAL INEQUALITIES, A SPLIT EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEMS

Nonlinear Algorithms for a Common Solution of a System of Variational Inequalities, a Split Equilibrium Problem and Fixed Point Problems

In this paper, we propose an iterative algorithm for finding a common solution of a system of generalized equilibrium problems, a split equilibrium problem and a hierarchical fixed point problem over the common fixed points set of a finite family of nonexpansive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative method has strong convergence under some mild conditions...

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems

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

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed-Point Problems, and Variational Inequalities

and Applied Analysis 3 set of a nonexpansive mapping in a Hilbert space. Let an arbitrary x1 ∈ H, define sequences {xn} and {un} by F ( un, y ) 1 βn 〈 y − un, un − xn 〉 ≥ 0, ∀y ∈ C, xn 1 αnγf xn I − αnB Sun, ∀n ∈ N. 1.6 They proved that under certain appropriate conditions imposed on {αn} and {βn}, the sequences {xn} and {un} generated by 1.6 converge strongly to the unique solution of the vari...