Demiclosed principle and convergence theorems for total asymptotically nonexpansive nonself mappings in hyperbolic spaces

DOI10.1186/1687-1812-2015-4zbMath1390.47024OpenAlexW2302987542WikidataQ59436190 ScholiaQ59436190MaRDI QIDQ285867

Li-Li Wan

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/10.1186/1687-1812-2015-4

zbMATH Keywords

hyperbolic space\(\Delta\)-convergencetotal asymptotically nonexpansive nonself mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

Convergence analysis of new modified iterative approximating processes for two finite families of total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ Three-step iterations for total asymptotically nonexpansive mappings in CAT(0) spaces

Cites Work

• Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces
• An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
• Convergence theorems for mixed type asymptotically nonexpansive mappings
• Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
• Fixed points of multivalued mappings in certain convex metric spaces
• Strong and weak convergence theorems for asymptotically nonexpansive mappings.
• Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
• Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces
• Strong and \(\delta\)-convergence for mixed type total asymptotically nonexpansive mappings in CAT(0) spaces
• Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces
• 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
• Some logical metatheorems with applications in functional analysis
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
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