Common Fixed Points of Commuting Mappings
Copyright policy )Common Fixed Points of Commuting Mappings
Let X X be a dendroid and S S an abelian semigroup of continuous monotone self-mappings of X X . A point x ϵ X x\epsilon X is fixed under S S if g ( x ) = x g(x) = x for all g ϵ S g\epsilon S . Let f : X → X f:X \to X be continuous and commute with each element of S S . It is shown that f f and S S have a common fixed point.
- Birmingham–Southern College United States
Continua and generalizations, Fixed-point and coincidence theorems (topological aspects), Special maps on topological spaces (open, closed, perfect, etc.), Transformation groups and semigroups (topological aspects)
Continua and generalizations, Fixed-point and coincidence theorems (topological aspects), Special maps on topological spaces (open, closed, perfect, etc.), Transformation groups and semigroups (topological aspects)
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