Fixed points in the nonstandard hull of a Banach space

DOI10.1016/S0362-546X(98)00571-9zbMath0936.47032OpenAlexW1994991256MaRDI QIDQ4259691

Siu-Ah Ng, Stefano Baratella

Publication date: 18 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00571-9

zbMATH Keywords

nonstandard analysisnonstandard hullfixed points for nonexpansive mappingsexistence of almost fixed pointsfixed point property for bounded closed convex setsliftable nonexpansive selfmap

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonstandard operator theory (47S20)

Related Items (4)

A nonstandard approach to asymptotic fixed point theorems ⋮ Neocompact quantifier elimination in structures based on Banach spaces ⋮ Neocompact sets and the fixed point property ⋮ On a problem of common approximate fixed points

Cites Work

• Nonstandard methods in fixed point theory
• The Nonstandard Theory of Topological Vector Spaces
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