In this paper, we study an extension of the split equality equilibrium problem called the extended split equality equilibrium problem. We give an iterative algorithm for approximating a solution of extended split equality equilibrium and fixed point problems and obtained a strong convergence result in a real Hilbert space. We further applied our result to solve extended split equality monotone variational inclusion and equilibrium problems. The result of this paper complements and extends results on split equality equilibrium problems in the literature.

中文翻译：

---

近似扩展分裂等式均衡和不动点问题的通用解

在本文中，我们研究了分裂平等均衡问题的扩展，称为扩展分裂平等均衡问题。我们给出了一种迭代算法来逼近扩展分裂等式均衡和不动点问题的解，并在实Hilbert空间中获得了强收敛结果。我们进一步应用我们的结果来解决扩展分裂等式单调变分包含和均衡问题。本文的结果补充和扩展了文献中关于分裂平等均衡问题的结果。