On monotone nonexpansive mappings in CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces
Copyright policy )On monotone nonexpansive mappings in CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces
Abstract In this paper, based on some geometrical properties of CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces, for p ≥ 2 $p \geq 2$ , 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.
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Nonexpansive mappings, CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces, Contraction mappings, Fixed points, Partial order, Best proximity points, Analysis
T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Nonexpansive mappings, CAT p ( 0 ) $\operatorname{CAT}_{p}(0)$ spaces, Contraction mappings, Fixed points, Partial order, Best proximity points, Analysis
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