In this paper, using a hybrid extragradient method, we introduce a new iterative process for finding a common element of the solution set of the Split Equality Common Equilibrium Problem for a finite family of pseudomonotone bifunctions and the solution set of the Split Equality Common Null Point Problem for a finite family of monotone operators in certain Banach spaces. We establish strong convergence of the proposed algorithm. This paper concludes with certain applications where we utilize our results to study the determination of a solution of the Split Equality Common Variational Inequality Problem and a solution of the Split Equality Common Null Point Problem. A numerical example to support our main theorem will be exhibited. The theorems proved improve and complement a host of important recent results.

中文翻译：

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Banach空间中涉及分解和拟单调双功能的一般拆分等式问题的混合超梯度方法

在本文中，我们使用混合超梯度方法，介绍了一个新的迭代过程，用于寻找有限单列伪单调双函数和分裂等式公共零点的解集的分裂等式公共平衡问题的解集的一个公共元素某些Banach空间中有限单调算子族的问题。我们建立了所提出算法的强收敛性。本文在某些应用中得出结论，在这些应用中，我们利用我们的结果来研究对等式共同变分不等式问题的解决方案和对等式共同零点问题的解决方案。将展示一个支持我们的主要定理的数值示例。这些定理证明可以改进和补充最近的许多重要结果。