A solution of a viscosity Cesàro mean algorithm

Year 2020, Volume: 69 Issue: 2, 1449 - 1472, 31.12.2020

Hamid Reza Sahebi

https://doi.org/10.31801/cfsuasmas.742368

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

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