On fixed-point sets of nonexpansive mappings in nonstandard hulls and Banach space ultrapowers

DOI10.1016/j.na.2006.04.002zbMath1143.47039OpenAlexW2115131473MaRDI QIDQ876948

Andrzej Wiśnicki

Publication date: 19 April 2007

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.2006.04.002

zbMATH Keywords

fixed pointnonexpansive mappingnonstandard analysisnonexpansive retractionBanach ultrapower

Mathematics Subject Classification ID

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

Related Items

A nonstandard approach to asymptotic fixed point theorems

Cites Work

• Model theory.
• Nonstandard methods in fixed point theory
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Loeb measures in practice: Recent advances. EMS lectures 1997
• On a problem of common approximate fixed points
• Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
• Remarks on the fixed point problem for nonexpansive maps
• Fixed Point Theorems in Product Spaces
• Internal set theory: A new approach to nonstandard analysis
• Asymptotically nonexpansive mappings
• Reflexivity and approximate fixed points
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• ATTRACTORS AND NEO-ATTRACTORS FOR 3D STOCHASTIC NAVIER–STOKES EQUATIONS
• Neocompact sets and the fixed point property
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item