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    Article

    Existence of Solutions of New Generalized Mixed Vector Variational-Like Inequalities in Reflexive Banach Spaces

    In this paper, we extend the concept of monotonicity for a vector set-valued map** to semimonotonicity for a vector set-valued map**. Then, we prove solvability results for a class of new generalized mixed...

    Somyot Plubtieng, Tipphawan Thammathiwat in Journal of Optimization Theory and Applications (2014)

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    Open Access

    Existence of solutions of a new system of generalized variational inequalities in Banach spaces

    In this article, we consider the solutions of the system of generalized variational inequality problems in Banach spaces. By employing the generalized projection operator, the well-known Fan's KKM theorem and ...

    Somyot Plubtieng, Tipphawan Thammathiwat in Journal of Inequalities and Applications (2012)

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    Article

    A viscosity approximation method for finding a common solution of fixed points and equilibrium problems in Hilbert spaces

    In this paper, we introduce an iterative method for finding a common element of the set of fixed points of a nonexpansive map** and the set of common fixed points of a countable family of nonexpansive mappin...

    Somyot Plubtieng, Tipphawan Thammathiwat in Journal of Global Optimization (2011)