Some convergence results for multi-valued mappings in hyperbolic spaces

DOI10.1016/j.endm.2018.05.003zbMath1453.54041OpenAlexW2808121984MaRDI QIDQ1791972

Metin Başarır, Aynur Şahin

Publication date: 11 October 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2018.05.003

zbMATH Keywords

strong convergencehyperbolic spacecommon fixed point\(\Delta\)-convergencemulti-valued mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Special maps on metric spaces (54E40) Fixed-point iterations (47J26)

Cites Work

• On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
• Fixed points of multivalued mappings in certain convex metric spaces
• Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces
• Spaces with non-positive curvature
• SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS
• Iteration processes for nonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Nonexpansive iterations in hyperbolic spaces
• Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces
• Quasi-nonexpansive multi-valued maps and selections
• Remarks on Some Fixed Point Theorems
• Fixed Points by a New Iteration Method
• Some logical metatheorems with applications in functional analysis
• Mean Value Methods in Iteration
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