Abstract

The purpose of this paper is to introduce a new hybrid extragradient iterative algorithm for finding a common element of the set of points satisfying the Equilibrium problem, variational inequality and fixed point problems of a strict pseudocontraction mapping in Hilbert spaces. Consequently, we obtain the strong convergence of an iterative algorithm generated by the hybrid extragradient projection method. The results presented in this paper generalize, improve and extend some well-known results in the literature.

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