Existence and convergence theorems of fixed points for multi-valued SCC-, SKC-, KSC-, SCS- and C-type mappings in hyperbolic spaces

DOI10.1186/s13663-015-0339-9zbMath1345.54041OpenAlexW1550861808WikidataQ59412406 ScholiaQ59412406MaRDI QIDQ285882

Lin Wang, Ravi P. Agarwal, Shi Sheng Zhang

Publication date: 19 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0339-9

zbMATH Keywords

hyperbolic spacecommon fixed point\(\Delta\)-convergence theoremKuhfittig-type iterationmulti-valued SCC-, SKC-, KSC-, SCS- and C-type mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Unnamed Item ⋮ Convergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spaces ⋮ Fixed point theorems on generalized \(\alpha\)-nonexpansive multivalued mappings ⋮ Fixed point approximation for \(SKC\)-mappings in hyperbolic spaces

Cites Work

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• Convergence theorems for some multi-valued generalized nonexpansive mappings
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• Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
• Generalized \(C\)-conditions and related fixed point theorems
• On Kirk's strong convergence theorem for multivalued nonexpansive mappings on \(\mathrm{CAT}(0)\) spaces
• A concept of convergence in geodesic spaces
• Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
• Common fixed points of nonexpansive mappings by iteration
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• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Compact asymptotic center and common fixed point in strictly convex Banach spaces
• Nonexpansive iterations in hyperbolic spaces
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