A viscosity of Cesaro mean approximation method for split generalized equilibrium, variational inequality and fixed point problems
Jitsupa Deepho, Juan Martínez‐Moreno, Poom Kumam · The Journal of Nonlinear Sciences and Applications · 2016
In this paper, we introduce and study an iterative viscosity approximation method by modified Cesàro mean approximation for finding a common solution of split generalized equilibrium, variational inequality and fixed point problems. Under suitable conditions, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. The results presented in this paper generalize, extend and improve the corresponding results of Shimizu and Takahashi [K. Shimoji, W. Takahashi, Taiwanese J. Math., 5 (2001), 387-404].