### Construction of a common element for the set of solutions of fixed point problems and generalized equilibrium problems in Hilbert spaces

#### Abstract

*k*-strict pseudo-contractions and two finite families of generalized equilibrium problems in the setting of Hilbert spaces. Strong convergence results of the proposed iterative algorithm together with some applications to solve the variational inequality problems are established in such setting. Our results generalize and improve various existing results in the current literature.

#### Keywords

#### Mathematics Subject Classification (2010)

#### References

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