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

Fixexd point theory and applications

article

Shukri, Sami¹ 

[1] Department of Mathematics, Al-Hussein Bin Talal University

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

DOI  :  10.1186/s13663-020-00675-z

来源: SpringerOpen

【 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.

【 授权许可】

Unknown