In this paper, we introduce some new approximation projection algorithms for solving monotone equilibrium problems over the intersection of fixed point sets of demicontractive mappings. By combining subgradient projection methods and hybrid steepest descent methods, strong convergence of the algorithms to a solution is shown in a real Hilbert space. Some numerical illustrations and comparisons are also reported to show the efficiency and advantage of the proposed algorithms.

中文翻译：

---

定点集均衡问题的新投影方法

在本文中，我们介绍了一些新的近似投影算法，用于解决非收缩映射的不动点集交点上的单调平衡问题。通过结合次梯度投影方法和混合最速下降方法，在真实的希尔伯特空间中显示了算法到解的强收敛性。还报告了一些数字图示和比较，以显示所提出算法的效率和优势。