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 anonexpansive semigroups in real Hilbert spaces. Under certain conditions control onparameters, the iteration sequences generated by the proposed algorithms are provedto be strongly convergent to a solution of split generalized equilibrium problem. Ourresults can be viewed as a generalization and improvement of various existing resultsin the current literature. Some numerical examples to guarantee the main result ofthis paper.