Abstract In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued α-nonexpansive mapping and a multivalued mapping satisfying condition (E′) in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces.

中文翻译：

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在双曲空间中逼近多值广义非膨胀映射的公共端点

摘要 在本文中，我们介绍了一种新的改进迭代过程，用于逼近一致凸双曲空间中多值α-非膨胀映射和满足条件（E'）的多值映射的公共端点。作为副产品，我们改进了 Panyanak (2018) 的主要结果，为两个多值映射提供了一种新的、更快的算法。此外，我们给出了一个数值例子来证实我们的结果。我们的工作是新的，并且同时适用于一致凸 Banach 空间和 CAT(0) 空间。