In this paper, based on some geometrical properties of $\operatorname{CAT}_{p}(0)$ spaces, for $p \geq 2$, we obtain two fixed point results for monotone multivalued nonexpansive mappings and proximally monotone nonexpansive mappings. Which under some assumptions, reduce to coincide and generalize a fixed point result for monotone nonexpansive mappings. This work is a continuity of the previous work of Ran and Reurings, Nieto and Rodríguez-López done for monotone contraction mappings.

中文翻译：

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在\（\ operatorname {CAT} _ {p}（0）\）空间中的单调非膨胀映射

本文基于$ \ operatorname {CAT} _ {p}（0）$空间的某些几何性质，对于$ p \ geq 2 $，我们获得了单调多值非膨胀映射和近邻单调非膨胀映射的两个不动点结果。在某些假设下，将其简化为单调非扩展映射的一致点并归纳为一个定点结果。这项工作是Ran和Reurings，Nieto和Rodríguez-López以前所做的单调收缩映射工作的延续。