Results 31 to 40 of about 175 (103)

Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space

Abstract and Applied Analysis, Volume 5, Issue 3, Page 147-158, 2000., 2000
We introduce the notion of asymptotically almost nonexpansive curves which include almost‐orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves.
Gang Li, Jong Kyu Kim
wiley   +1 more source

Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 119-129, 1999., 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 Sobolev spaces Hk,p, for 1 < p < ∞ and k ≥ 0.
Balwant Singh Thakur, Jong Soo Jung
wiley   +1 more source

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

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 51-60, 1997., 1995
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 type of C into itself.
Jong Soo Jung, Jong Yeoul Park, Jong Seo Park   +2 more
wiley   +1 more source

On L-Fuzzy Semitopological Semigroups

Journal of Mathematical Analysis and Applications, 1993
The author has introduced the concepts of an \(L\)-fuzzy right topological semigroup, an \(L\)-fuzzy left topological semigroup, an \(L\)-fuzzy topological semigroup, and an \(L\)-fuzzy semitopological semigroup where \(L\) is a Heyting algebra; it has been shown that every semitopological semigroup \((X,T)\) is a fuzzy semitopological semigroup with ...
openaire   +1 more source

Idempotent probability measures on compact semitopological semigroups. [PDF]

Proceedings of the American Mathematical Society, 1969
The structure of idempotent probability measures on compact topological semigroups is well known (see, for example, [2], [41, [7] and [9]). However, the statement in [8] that the methods of [7] can be used to obtain identical results when the semigroup is only semitopological (i.e.
openaire   +2 more sources

Vector‐valued means and weakly almost periodic functions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 227-237, 1994., 1992
A formula is set up between vector‐valued mean and scalar‐valued means that enables us translate many important results about scalar‐valued means developed in [1] to vector‐valued means. As applications of the theory of vector‐valued means, we show that the definitions of a mean in [2] and [3] are equivalent and the space of vector‐valued weakly almost
Chuanyi Zhang
wiley   +1 more source

On a semitopological semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ when a family $\mathscr{F}$ consists of inductive non-empty subsets of $\omega$

, 2023
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}.
Mykhalenych, Mykola, Gutik, Oleg
core   +1 more source

On distal and equicontinuous compact right topological groups

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 379-388, 1994., 1994
W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
wiley   +1 more source

The Set of Idempotents in the Weakly Almost Periodic Compactification of the Integers is not Closed [PDF]

, 2000
This paper answers negatively the question of whether the sets of idempotents in the weakly almost periodic compacti?cations of (N; +) and (Z; +) are ...
Pym, J.S., Bordbar, Behzad
core  

A note on quasi R*‐invariant measures on semigroups

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 727-730, 1990., 1990
A characterization of quasi r*‐invariant measures on metric topological semigroups is obtained by showing that their support has a left group structure thus generalizing previously known results for relatively r*‐invariant measures and the topo‐algebraic structure of their support.
N. A. Tserpes
wiley   +1 more source