A Viscosity Iterative Algorithm for the Optimization Problem System

Hamid Reza Sahebi, Sara Ebrahimi


In this paper, we suggest and analysis a viscosity iterative algorithm for finding a common element of the set of solution of the mixed equilibrium problem and the set of solutions of the variational inequality and all common fixed points of a nonexpansive semigroup. This algorithm strongly converge to an element which solves an optimization problem system. Finally, examples and numerical results are also given.

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