A Viscosity Nonlinear Algorithm for Split Generalized Equilibrium Problem

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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