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    Strong convergence theorems for the modified variational inclusion problems and various nonlinear mappings in hilbert space
    (2016-01-01)
    Khuangsatung, Wongvisarut
    ;
    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 κ-strictly pseudonon-spreading 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.
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    Item type:Publication,
    The new variational inclusion problems for fixed point theorem
    (2015-01-01)
    Khuangsatung, Wongvisarut
    ;
    For the purpose of this article, we modify the variational inclusion problems and prove the strong convergence theorem for approximating a common element of two sets of solutions of variational inclusion problems, variational inequality problem and the set of fixed points of a nonexpansive mapping without the conditions ∑<inf>n=l</inf><sup>∞</sup> α<inf>n</inf> = ∞ and lim<inf>n→∞</inf>α<inf>n</inf> = 0 in a framework of Hilbert space.