A connection between fixed-point theorems and tiling problems

DOI10.1006/jcta.1998.2960zbMath0983.54047OpenAlexW1996138726MaRDI QIDQ1304626

Jacek R. Jachymski, James D. jun. Stein, Bernd S. W. Schröder

Publication date: 23 April 2002

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1998.2960

zbMATH Keywords

Banach contraction principle

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items

Answers to questions on the generalized Banach contraction conjecture in \(b\)-metric spaces, Remarks on the stability of the fixed point property for nonexpansive mappings, Survey on Metric Fixed Point Theory and Applications, The generalized Banach contraction conjecture in \(b\)-metric spaces, Various extensions of Kannan's fixed point theorem, Fixed points of weakly contractive maps and boundedness of orbits, An application of Ramsey’s Theorem to the Banach Contraction Principle, A proof of the Generalized Banach Contraction Conjecture, Fixed-point theorems for families of weakly non-expansive maps, On Contractive Families and a Fixed‐Point Question of Stein, A generalization of the Banach contraction principle, Fixed point theorems and tiling problems

Cites Work

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• A Comparison of Various Definitions of Contractive Mappings
• Uniformly Contractive Fixed Points in Compact Metric Spaces
• A Remark on a Fixed-Point Theorem for Iterated Mappings