In this paper, using Bregman distance, we introduce an iterative algorithm for approximating a common solution of Split Equality Fixed Point Problem and Split Equality Equilibrium Problem in p-uniformly convex and uniformly smooth Banach spaces that are more general than Hilbert spaces. The advantage of the algorithm is that it is done without the prior knowledge of Bregman Lipschitz coefficients and operator norms. The strong convergence of the algorithm is established under mild assumptions. As special cases, we shall utilize our results to study the Split Equality Null point Problems and Split Equality Variational Inequality Problems. A numerical example is given to demonstrate the convergence of the algorithm. Our results complement and extend some related results in the literature.

中文翻译：

---

在不了解 Banach 空间中算子范数的先验知识的情况下解决一般分裂等式问题

在本文中，我们使用 Bregman 距离引入了一种迭代算法，用于在比 Hilbert 空间更一般的 p 一致凸和一致光滑的 Banach 空间中逼近分裂等式不动点问题和分裂等式均衡问题的通用解。该算法的优点在于它无需Bregman Lipschitz 系数和算子范数的先验知识即可完成。算法的强收敛性是在温和的假设下建立的。作为特殊情况，我们将利用我们的结果来研究分裂等式零点问题和分裂等式变分不等式问题。给出了一个数值例子来证明算法的收敛性。我们的结果补充和扩展了文献中的一些相关结果。