Viscosity splitting methods for variational inclusion and fixed point problems in Hilbert spaces

Viscosity Approximation Methods for Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces

The main objective of this paper is to find a common solution of split variational inclusion problem and fixed point problem of infinite family of nonexpansive operators in a setting of real Hilbert spaces. To reach this goal, the iterative algorithms which combine Moudafi’s viscosity approximation method with some fixed point technically proving methods are utilized for solving the problem. We...

A Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces

We introduce an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansivemappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse strongly monotone mappings and the set of solutions of an equilibrium problem in Hilbert spaces. Under suitable conditions, some strong convergence theo...

Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces

On synchronal algorithm for fixed point and variational inequality problems in hilbert spaces

The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi:10.1186/1687-1812-21) to the class of [Formula: see text]-total asymptotically strict pseudocontraction to solve the fixed point problem as well as variational inequality problem in the frame work of Hilbert space. Further, the results presented in this paper ext...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points