Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
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Publication:2636715
DOI10.1186/1029-242X-2013-93zbMath1292.47056WikidataQ59293846 ScholiaQ59293846MaRDI QIDQ2636715
Pakkapon Preechasilp, Rabian Wangkeeree
Publication date: 31 January 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
strong convergencevariational inequalitynonexpansive mappingCAT(0) spacecommon fixed pointviscosity approximation method
Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Strong convergence of viscosity approximation methods for nonexpansive mappings in \(\text{CAT}(0)\) spaces
- Convergence theorems for nonexpansive semigroups in spaces
- Duality and subdifferential for convex functions on complete \(CAT(0)\) metric spaces
- A concept of convergence in geodesic spaces
- Halpern's iteration in CAT(0) spaces
- An iterative approach to quadratic optimization
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Quasilinearization and curvature of Aleksandrov spaces
- Fixed points of uniformly Lipschitzian mappings
- Reductive groups over a local field
- Lim's theorems for multivalued mappings in CAT(0) spaces
- Weak topologies in complete $CAT(0)$ metric spaces
