Fixed-point theorem for isometric self-mappings

DOI10.1155/2020/3640539zbMath1492.47055OpenAlexW3092769276MaRDI QIDQ2223404

Joseph Frank Gordon

Publication date: 28 January 2021

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/3640539

zbMATH Keywords

fixed-point theoremself-mappingstrictly convex Banach spaceweakly compact convex subset

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Properties of isometric mappings
• Lim's center and fixed-point theorems for isometry mappings
• Common fixed points for commuting contraction mappings
• Sets with Fixed Point Property for Isometric Mappings
• Approximate Isometries on Finite Dimensional Banach Spaces
• Approximate isometries on bounded sets with an application to measure theory
• Isometries in Normed Spaces
• Classes of transformations and bordering transformations

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