Convergence theorem for solving the combination of equilibrium problems and fixed point problems in Hilbert spaces

Sarawut Suwannaut, Atid Kangtunyakarn

Abstract

In this article, we propose an iterative algorithm for approximating a common element of solution sets of equilibrium problems, the fixed point sets of nonspreading mappings and the fixed point sets of $\kappa_{i}$-strictly pseudo contractive mappings in Hilbert spaces. Furthermore, we prove that the proposed iterative scheme converges strongly to a common element of those three sets. Finally, to support our main results, the numerical examples are given.