# A Common Solution of Equilibrium, Constrained Convex Minimization and Fixed Point Problems

## DOI:

https://doi.org/10.5556/j.tkjm.52.2021.3521## Keywords:

Equilibrium problem; Constrained convex minimization problem; Averaged mapping; Iterative method; Fixed point.## Abstract

In this paper, we propose a new iterative scheme with the help of the gradient- projection algorithm (GPA) for finding a common solution of an equilibrium problem, a constrained convex minimization problem, and a fixed point problem. Then, we prove some strong convergence theorems which improve and extend some recent results. Moreover, we give a numerical result to show the validity of our main theorem.

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*Tamkang Journal of Mathematics*,

*52*(2), 293-308. https://doi.org/10.5556/j.tkjm.52.2021.3521

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