In this paper, we consider the split equality fixed point problem for quasi-pseudo-contractive mappings without a priori knowledge of operator norms in Hilbert spaces, which includes split feasibility problem, split equality problem, split fixed point problem, etc., as special cases. A unified framework for the study of this kind of problems and operators is provided. The results presented in the paper extend and improve many recent results.

中文翻译：

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不具备算子范数先验知识的拟收缩映射的分裂等式不动点问题及其应用

在本文中，我们考虑了在 Hilbert 空间中没有算子范数先验知识的拟伪收缩映射的分裂等式不动点问题，包括分裂可行性问题、分裂等式问题、分裂不动点问题等，作为特殊的案件。为研究此类问题和算子提供了统一的框架。论文中提出的结果扩展并改进了许多最近的结果。