Lim's theorems for multivalued mappings in CAT(0) spaces
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Publication:2575034
DOI10.1016/j.jmaa.2005.03.055zbMath1086.47019OpenAlexW1967699129MaRDI QIDQ2575034
Attapol Kaewkhao, Sompong Dhompongsa, Bancha Panyanak
Publication date: 5 December 2005
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.03.055
Trees (05C05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point theorems on manifolds (58C30) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Synthetic differential geometry (51K10)
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Cites Work
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- Unnamed Item
- Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
- Fixed point theorems for weakly contractive multivalued maps.
- On Asymptotic Centers and Fixed Points of Nonexpansive Mappings
- Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
- On asymptotically nonexpansive mappings in hyperconvex metric spaces
- Multivalued nonexpansive mappings in Banach spaces
