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...
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| Formato: | article |
| Lenguaje: | EN |
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SpringerOpen
2020
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| Acceso en línea: | https://doaj.org/article/9d782a7047444b16a5797f1bd639a008 |
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| Sumario: | 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. |
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