Results 11 to 20 of about 497 (94)

The universal semilattice compactification of a semigroup

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras.
H. R. Ebrahimi Vishki   +1 more
doaj   +2 more sources

Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity

open access: yesAbstract and Applied Analysis, 1999
Let G be a semitopological semigroup, C a nonempty subset of a real Hilbert space H, and ℑ={Tt:t∈G} a representation of G as asymptotically nonexpansive type mappings of C into itself.
G. Li, J. K. Kim
doaj   +2 more sources

Quasiminimal distal function space and its semigroup compactification

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
Quasiminimal distal function on a semitopological semigroup is introduced. The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions.
R. D. Pandian
doaj   +2 more sources

Recapturing semigroup compactifications of a group from those of its closed normal subgroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
We know that if S is a subsemigroup of a semitopological semigroup T, and 𝔉 stands for one of the spaces 𝒜𝒫,𝒲𝒜𝒫,𝒮𝒜𝒫,𝒟 or ℒ𝒞, and (ϵ,T𝔉) denotes the canonical 𝔉-compactification of T, where T has the property that 𝔉(S)=𝔉(T)|s, then (ϵ|s,ϵ(S)¯) is an 𝔉 ...
M. R. Miri, M. A. Pourabdollah
doaj   +2 more sources

Fixed point theorems for generalized Lipschitzian semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Let K be a nonempty subset of a p-uniformly convex Banach space E, G a left reversible semitopological semigroup, and 𝒮={Tt:t∈G} a generalized Lipschitzian semigroup of K into itself, that is, for s∈G, ‖Tsx−Tsy‖≤as‖x−y‖+bs(‖x−Tsx‖+‖y−Tsy‖)+cs(‖x−Tsy‖+‖y ...
Jong Soo Jung, Balwant Singh Thakur
doaj   +2 more sources

Semigroup compactifications by generalized distal functions and a fixed point theorem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
The notion of “Semigroup compactification” which is in a sense, a generalization of the classical Bohr (almost periodic) compactification of the usual additive reals R, has been studied by J. F. Berglund et. al. [2].
R. D. Pandian
doaj   +2 more sources

Asymptotic behavior of almost-orbits of reversible semigroups of non-Lipschitzian mappings in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a Fréchet differentiable norm, G a right reversible semitopological semigroup, and 𝒮={S(t):t∈G} a continuous representation of G as mappings of asymptotically nonexpansive
Jong Soo Jung   +2 more
doaj   +2 more sources

Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
doaj   +2 more sources

An amenability property of algebras of functions on semidirect products of semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
Let S1 and S2 be semitopological semigroups, S1 τ  S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ  S2.
Bao-Ting Lerner
doaj   +2 more sources

On a topological simple Warne extension of a semigroup [PDF]

open access: yes, 2012
In the paper we introduce topological $\mathbb{Z}$-Bruck-Reilly and topological $\mathbb{Z}$-Bruck extensions of (semi)topological monoids which are generalizations of topological Bruck-Reilly and topological Bruck extensions of (semi)topological monoids
Fihel, Iryna   +2 more
core   +3 more sources

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