Split Generalized Variational Inequality and Mixed Equilibrium Problem
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Abstract: In this article, a neo-iterated scheme is constructed to settle split generalized variational inequality and mixed equilibrium problem in two different Hilbert spaces. Under several mild conditions, the sequence produced of the proposed iterated algorithm converges strongly to solution of split generalized variational inequality and mixed equilibrium problem is proved. As application, we shall apply our result to reserach the split variational inequality problem and convex minimization problem. The results received in this paper enhance and generalize a number of recent relevant results.
Keyword: Split Feasibility Problem; Generalized Variational Inequality; Mixed Equilibrium Problem; Strong Convergence