On the Banach mapping theorem and a related conjecture

DOI10.1216/RMJ.2022.52.183OpenAlexW4224227148WikidataQ113751468 ScholiaQ113751468MaRDI QIDQ2136368

Ming-Chia Li

Publication date: 10 May 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-1/On-the-Banach-mapping-theorem-and-a-related-conjecture/10.1216/rmj.2022.52.183.full

zbMATH Keywords

invariant setfixed pointmapping decompositionBanach mapping theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Axiomatics of classical set theory and its fragments (03E30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Cites Work

• Unnamed Item
• Concerning a theorem of Ky Fan's
• Note on a theorem of Banach
• An Elementary Proof of a Generalization of Banach’s Mapping Theorem
• A Note on the Schroeder-Bernstein Theorem

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