In this paper, $\mathrm{△}$-convergence and strong convergence theorems for asymptotically quasi-nonexpansive sequences in Hadamard spaces are derived. The results extend and improve recent results in the literature and some of them seem new even in Hilbert spaces. Applications to convex minimization and common fixed point problems are discussed.

中文翻译：

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具有应用的渐近拟非膨胀序列的收敛定理

在本文中， $\mathrm{△}$导出了Hadamard空间中渐近拟非膨胀序列的收敛和强收敛定理。这些结果扩展并改进了文献中的最新结果，其中一些甚至在希尔伯特空间中似乎是新的。讨论了凸最小化和常见不动点问题的应用。