Common Fixed Points of Commuting Mappings

DOI10.2307/2040402zbMath0311.54050OpenAlexW4250803391MaRDI QIDQ4069508

Carol M. Smith, William J. Gray

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040402

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

A Good Question Won’t Go Away: An Example of Mathematical Research ⋮ Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point

Cites Work

• Commuting monotone mappings of dendroids
• Monotone surjections having more than one fixed point
• Characterization of the fixed point property for a class of set-valued mappings
• On Fixed Points of Commuting Functions
• Commuting Functions with No Common Fixed Point
• A Fixed-Point Theorem for Commuting Monotone Functions
• Fixed Points Under Transformations of Continua Which are Not Connected Im Kleinen

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