On Contractive Families and a Fixed‐Point Question of Stein

DOI10.1112/S0025579300000395zbMath1105.54020arXivmath/0608523MaRDI QIDQ3410746

Tim D. Austin

Publication date: 16 November 2006

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608523

zbMATH Keywords

KKM theoremfixed point theoremmatching theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (3)

Generalizations and strengthenings of Ryser's conjecture ⋮ Commuting contractive families ⋮ CONTRACTIVE FAMILIES ON COMPACT SPACES

Cites Work

• A connection between fixed-point theorems and tiling problems
• A generalization of the Banach contraction principle
• An application of Ramsey’s Theorem to the Banach Contraction Principle
• Fast Parallel Recognition of Ultrametrics and Tree Metrics
• A proof of the Generalized Banach Contraction Conjecture
• A systematic generalization procedure for fixed-point theorems

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