Fixed Point Theorem for Finite Families of κ_i-Strict Pseudo-Contractive Mappings and The Set of Solutions of Variational Inequality Problems and The Set of Solutions to Equilibrium Problems in Hilbert Space

Abstract

The purpose of this paper is to prove a strong convergence theorem for finding a common element of the set of solutions to equilibrium problems, the set of solutions to variational inequality problems, and the set of solutions to fixed point problems of finite families of strictly pseudo-contractive mappings. The result of this article can be especially useful in the field of engineering in terms of power systems, renewable energy, and signal processing. Moreover, I give a numerical example to support my result.