A solution of a viscosity Cesàro mean algorithm

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:69 Issue:2
A solution of a viscosity Cesàro mean algorithm

A solution of a viscosity Cesàro mean algorithm

Pages : 1449-1472

View : 17 | Download : 15

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

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