### Fixed Point Theorems for a Demicontractive Mapping and Equilibrium Problems in Hilbert Spaces

#### Abstract

In this research, we introduce some properties of demicontractive mapping and the combination of equilibrium problem. Then, we prove a strong convergence for the iterative sequence converging to a common element of fixed point set of demicontractive mapping and a common solution of equilibrium problems. Finally, we give a numerical example for the main theorem to support our results.

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DOI: http://dx.doi.org/10.26713%2Fcma.v11i2.1237

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