Strong convergence theorems for the modified variational inclusion problems and various nonlinear mappings in Hilbert space

Wongvisarut Khuangsatung, Atid Kangtunyakarn

Abstract

In this paper, we prove  a strong convergence theorem for finding a common element of the set of fixed points  of a finite family of $\kappa$-strictly pseudononspreading mappings  and the set of solutions of a finite family of variational inclusion problems and the set of solution  of generalized equilibrium problem  in Hilbert space.  By using our main result, we give the numerical example to support some of our results.