Common Fixed Points for Compatible Maps on the Unit Interval

DOI10.2307/2159273zbMath0771.54037OpenAlexW4235718490MaRDI QIDQ3993787

Gerald F. Jungck

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2159273

zbMATH Keywords

periodic pointcommon fixed pointcompatible map

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Compact (locally compact) metric spaces (54E45) Iteration of real functions in one variable (26A18)

Related Items

Nonexpansive retracts and weak compatible pairs in metric spaces, A Good Question Won’t Go Away: An Example of Mathematical Research, Common fixed points for Banach operator pairs with applications, Equivalent conditions involving common fixed points for maps on the unit interval

Cites Work

• Unnamed Item
• Compatible mapping and common fixed points
• Common periodic points of commuting functions
• Concerning Periodic Points in Mappings of Continua
• Common Fixed Points for Commuting and Compatible Maps on Compacta
• Common Fixed Points for a Class of Commuting Mappings on an Interval
• Commuting Mappings and Common Fixed Points
• Commuting Functions with No Common Fixed Point
• On Common Fixed Points of Commuting Continuous Functions on an Interval
• Γ-Compact Maps on an Interval and Fixed Points
• Common Fixed-Points for Equicontinuous Semigroups of Mappings