A Viscosity Nonlinear Algorithm for Split Generalized Equilibrium Problem

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Cankaya University Journal of Science and Engineering
Volume:16 Issue:1
A Viscosity Nonlinear Algorithm for Split Generalized Equilibrium Problem

A Viscosity Nonlinear Algorithm for Split Generalized Equilibrium Problem

Authors : Hamid Reza SAHEBİ, Mahdi AZHİNİ

Pages : 35-53

View : 59 | Download : 11

Publication Date : 2019-05-31

Article Type : Research Paper

Abstract :In this paper, we proposed a viscosity iterative algorithm to approximate a common solution of split generalized equilibrium problem and fixed point problem for a nonexpansive semigroups in real Hilbert spaces. Under certain conditions control on parameters, the iteration sequences generated by the proposed algorithms are proved to be strongly convergent to a solution of split generalized equilibrium problem. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Some numerical examples to guarantee the main result of this paper.
Keywords : Nonexpansive semigroup, split general equilibrium problems system, strongly positive linear bounded operator

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