A SOLUTION OF A VISCOSITY CESÀRO MEAN ALGORITHM

Abstract

Based on the viscosity approximation method, we introduce a new cesàro mean approximation method for finding a common solution of split generalized equilibrium problem in real Hilbert spaces. Under certain condi- tions control on parameters, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Some numerical ex- amples are presented to illustrate the convergence results. Our results can be viewed as a generalization and improvement of various existing results in the current literature.