Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity [PDF]
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 +3 more sources
Quasiminimal distal function space and its semigroup compactification [PDF]
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 +3 more sources
The universal semilattice compactification of a semigroup [PDF]
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
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Recapturing semigroup compactifications of a group from those of its closed normal subgroups [PDF]
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 +3 more sources
Semigroup compactifications by generalized distal functions and a fixed point theorem [PDF]
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 +4 more sources
On a semitopological semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ when a family $\mathscr{F}$ consists of inductive non-empty subsets of $\omega$ [PDF]
Let $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ be the bicyclic semigroup extension for the family $\mathscr{F}$ of ${\omega}$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=2020}.
O. V. Gutik, M. S. Mykhalenych
doaj +3 more sources
Central Sets Theorem Near of an Idempotent in Wap-Compactification [PDF]
A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wap-compactification of a ...
Ali Pashapournia +2 more
doaj +2 more sources
Fixed point theorems for generalized Lipschitzian semigroups
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
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
Some algebraic universal semigroup compactifications [PDF]
Universal compactifications of semitopological semigroups with respect to the properties satisfying the varieties of semigroups and groups are studied through two function algebras.
H. R. Ebrahimi-Vishki
wiley +2 more sources

