A solution of a viscosity Cesàro mean algorithm

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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