On monotone nonexpansive mappings in \(\operatorname{CAT}_{p}(0)\) spaces

[摘要] 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.

[关键词] Fixed points;Best proximity points;\(\operatorname{CAT}_{p}(0)\) spaces;Partial order;Contraction mappings;Nonexpansive mappings;Monotone mappings