Why and how much Brouwer's fixed point theorem fails in noncompact setting?

DOI10.1007/s00032-010-0135-2zbMath1222.54041OpenAlexW2044920520MaRDI QIDQ720019

Emanuele Casini, Kazimierz Goebel

Publication date: 13 October 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-010-0135-2

zbMATH Keywords

Brouwer's fixed point theoremfixed point free mappingsminimal displacement problemoptimal retraction problem

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) History of operator theory (47-03) History of general topology (54-03)

Related Items (3)

Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1$] ⋮ Sets with structure, mappings and fixed point property: fixed point structures ⋮ Proper \(k\)-ball-contractive mappings in \(C_b^m [0, +\infty)\)

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