A solution of a viscosity Cesàro mean algorithm

Authors : Hamid Reza SAHEBİ

Pages : 1449-1472

Doi:10.31801/cfsuasmas.742368

View : 10 | Download : 11

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract :Based on the viscosity approximation method, we introduce a new cesaro mean approximation method for finding a common solution of split generalized equilibrium problem in real Hilbert spaces. Under certain conditions control on parameters, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Some numerical examples 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.
Keywords : variational inclusion problem, split generalized equilibrium problem, strictly pseudocon tractive mapping