Strong convergence of iteration algorithms for a countable family of nonexpansive mappings
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Publication:923967
DOI10.1016/j.na.2009.01.219zbMath1222.47119OpenAlexW2090702409MaRDI QIDQ923967
Publication date: 24 July 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.01.219
strong convergencereflexive Banach spaceuniformly Gâteaux differentiable normcountable family of nonexpansive mappingsmodified Halpern iteration
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Proximal algorithms for a class of mixed equilibrium problems ⋮ New iterative approximation methods for a countable family of nonexpansive mappings in Banach spaces ⋮ Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces ⋮ Strong convergence theorems of viscosity iterative methods for a countable family of strict pseudo-contractions in Banach spaces ⋮ The general iterative methods for nonexpansive mappings in Banach spaces ⋮ A new strong convergence theorem for equilibrium problems and fixed point problems in Banach spaces
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