In this work, we propose an iterative scheme to approach common fixed point(s) of a finite family of generalized multi-valued nonexpansive mappings in a CAT(0) space. We establish and prove convergence theorems for the algorithm. The results are new and interesting in the theory of \(CAT\left( 0\right) \) spaces and are the analogues of corresponding ones in uniformly convex Banach spaces and Hilbert spaces.

中文翻译：

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$$ \ mathbf {CAT}（0）$$ CAT（0）空间中一类多值映射的公共不动点迭代

在这项工作中，我们提出了一种迭代方案来逼近CAT（0）空间中的广义多值非膨胀映射的有限族的公共不动点。我们建立并证明了该算法的收敛定理。结果在\（CAT \ left（0 \ right）\）空间理论中是新的且有趣的，并且是均匀凸Banach空间和Hilbert空间中对应空间的类似物。