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A note on ``Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings

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DOI10.1016/j.na.2008.03.036zbMath1225.47113OpenAlexW2051520566MaRDI QIDQ1006686

Yongfu Su

Publication date: 25 March 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.2008.03.036


zbMATH Keywords

strong convergencefixed pointHalpern iterationpseudo contractive mapping


Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)


Related Items

Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces ⋮ System of N fixed point operator equations with N-pseudo-contractive mapping in reflexive Banach spaces ⋮ System of multivariate pseudo-contractive operator equations and the existence of solutions



Cites Work

  • Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings


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