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On the orbits of G-closure points of ultimately nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2006
Let X be a closed subset of a Banach space and G an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the G-closure of X is nonempty, then the closure of the orbit of any G-closure point is a commutative topological group.
Mo Tak Kiang
doaj   +1 more source

Right simple subsemigroups and right subgroups of compact convergence semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Clifford and Preston (1961) showed several important characterizations of right groups. It was shown in Roy and So (1998) that, among topological semigroups, compact right simple or left cancellative semigroups are in fact right groups, and the closure ...
Phoebe Ho, Shing S. So
doaj   +1 more source

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