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    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.
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    Item type:Publication,
    The applications of modified generalized mixed equilibrium problems to nonlinear problems
    (2016-01-01)
    Khuangsatung, Wongvisarut
    ;
    From the concept of generalizedmixed equilibrium problems, we intro- duce a new problem to prove a strong convergence theorem for finding a common element of the set of fixed point of an infinite family of nonexpansive mappings and the set of a finite family of generalized mixed equilibrium problems in Hilbert space. We also apply our main result for generalized equilibrium problems and variational inequality problems.