New strong convergence theorems for nonexpansive nonself-mappings without boundary conditions
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Publication:1004833
DOI10.1016/j.camwa.2008.03.004zbMath1155.65345OpenAlexW2080498021MaRDI QIDQ1004833
Publication date: 12 March 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2008.03.004
reflexive and strictly convex Banach spaceexplicit viscosity approximationnonexpansive nonself-mappings
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
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Halpern iteration for firmly type nonexpansive mappings ⋮ Strong convergence theorems for modifying Halpern iterations for a totally quasi-\(\phi \)-asymptotically nonexpansive multi-valued mapping in reflexive Banach spaces ⋮ Mixed approximation for nonexpansive mappings in Banach spaces ⋮ Halpern's iteration in Banach spaces
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