Convergence of unrestricted products of nonexpansive mappings in spaces with the opial property

DOI10.1016/0362-546X(94)00316-AzbMath0866.47038OpenAlexW2076013646MaRDI QIDQ4861592

Pei-Kee Lin, Tadeusz Kuczumow, John M. Dye, Simeon Reich

Publication date: 24 July 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00316-a

zbMATH Keywords

common fixed pointnonexpansive mappingsOpial's propertyrandom products of finitely many mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random nonlinear operators (47H40)

Related Items

Opial properties in interpolation spaces ⋮ Stable Convergence Theorems for Infinite Products and Powers of Nonexpansive Mappings ⋮ A stable convergence theorem for infinite products of nonexpansive mappings in Banach spaces ⋮ Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections ⋮ A random weak ergodic property of infinite products of operators in metric spaces ⋮ Asymptotic normal structure and the semi-opial property ⋮ The set of divergent infinite products in a Banach space is \(\sigma\)-porous ⋮ Inexact Infinite Products of Nonexpansive Mappings ⋮ Generic power convergence of order-preserving mappings ⋮ Asymptotic behavior of a dynamical system on a metric space

Cites Work

• On rings of operators. Reduction theory
• Random Products of Contractions in Banach Spaces
• Unrestricted iterations of nonexpansive mappings in Hilbert space
• Unrestricted iterations of nonexpansive mappings in Banach spaces
• Unrestricted products of contractions in Banach spaces
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