In this paper, we introduce two iterative algorithms for finding a common element of the set of fixed points of a quasi- ϕ-asymptotically nonexpansive multivalued mapping and the sets of solutions of generalized mixed equilibrium problem in Banach space. Then, we prove strong and weak convergence of the sequences to element in the mentioned set. Our results generalize and improve recent results announced by many authors.

中文翻译：

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Banach空间中的广义混合均衡问题和拟φ-渐近非膨胀多值映射

在本文中，我们介绍了两种迭代算法，用于寻找拟 ϕ 渐近非膨胀多值映射的不动点集的公共元素和 Banach 空间中广义混合均衡问题的解集。然后，我们证明了序列对上述集合中元素的强收敛和弱收敛。我们的结果概括并改进了许多作者最近宣布的结果。