Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces

DOI10.11650/TWJM/1500406795zbMath1269.47038OpenAlexW135271495MaRDI QIDQ1758309

Lai-Jiu Lin, Takahashi, Wataru

Publication date: 9 November 2012

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2384

zbMATH Keywords

fixed pointsgeneralized hybrid mappingattractive pointsBanach limitsnonlinear ergodic theorems2-generalized hybrid mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25)

Related Items (5)

Common strongly attractive points of nonexpansive set-valued mappings and applications ⋮ Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space ⋮ Existence and approximation of attractive points of the widely more generalized hybrid mappings in Hilbert spaces ⋮ Asymptotic regularity, fixed points and successive approximations ⋮ Attractive point and mean convergence theorems for semigroups of mappings without continuity in Banach spaces

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