A Viscosity Nonlinear Algorithm for Split Generalized Equilibrium Problem

Year 2019, Volume: 16 Issue: 1, 35 - 53, 31.05.2019

Hamid Reza Sahebi , Mahdi Azhini

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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