The General Intermixed Iteration for Equilibrium Problems and Variational Inequality Problems in Hilbert Spaces

Sarawut Suwannaut

Abstract

In this paper, the general intermixed iteration for two nonlinear mappings is introduced. A strong convergence theorem for approximating a common solution of two finite families of equilibrium problems and variational inequality problems in a Hilbert space is proved. Furthermore, a numerical example for main theorem is given to support the result.