Modification of viscosity method for strictly pseudo-contractive mapping and equilibrium problem with some applications

Abstract

For the purpose of this article, we are using the concept of equilibrium problem and prove the strong convergence theorem by the viscosity approximation methods for finding a common element of the set of fixed points of κi -strictly pseudo-contractive mappings and of a finite family of the set of solutions of equilibrium problems and variational inequality problems. Furthermore, we apply our main theorem for the numerical examples.