A novel iterative algorithm with convergence analysis for split common fixed points and variational inequality problems

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces

In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.

iterative methods for equilibrium problems, variational inequalities and fixed points

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

An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications

In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse strongly monotone mapping. We prove a strong convergence theorem f...