Results 51 to 60 of about 16,137 (198)

Invariance entropy for topological semigroup actions [PDF]

Proceedings of the American Mathematical Society, 2013
Invariance entropy for the action of topological semigroups acting on metric spaces is introduced. It is shown that invariance entropy is invariant under conjugations and a lower bound and upper bounds of invariance entropy are obtained. The special case of control systems is discussed.
Colonius, Fritz, Fukuoka, Ryuichi, Santana, Alexandre J.   +2 more
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Existence and Uniqueness of Nonlinear Volterra Integral Equations With Variable Fractional Order in Fréchet Spaces via a Frigon−Granas Fixed Point Approach

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper investigates the existence and uniqueness of solutions to nonlinear Volterra integral equations of variable fractional order in Fréchet spaces. The variable‐order fractional derivative is considered in the Riemann–Liouville sense, which extends classical approaches and is central to the paper’s novelty.
Mohamed Telli, Benoumran Telli, Mohammed Said Souid, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Khalil Ezzinbi   +5 more
wiley   +1 more source

Topological and metric entropy for group and semigroup actions

Topological Algebra and its Applications, 2019
It is well-known that the classical definition of topological entropy for group and semigroup actions is frequently zero in some rather interesting situations, e.g. smooth actions of ℤk+ (k >1) on manifolds.
Stoyanov Luchezar
doaj   +1 more source

Complete Invariant ⋆-Metrics on Semigroups and Groups

Axioms, 2022
In this paper, we study the complete ⋆-metric semigroups and groups and the Raǐkov completion of invariant ⋆-metric groups. We obtain the following. (1) Let (X,d⋆) be a complete ⋆-metric space containing a semigroup (group) G that is a dense subset of X.
Shi-Yao He, Jian-Cai Wei, Li-Hong Xie
doaj   +1 more source

Analysis of the Wiener Index of Rough Annihilator Graph Over Rough Semirings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
An effective analytical and visual tool for comprehending the annihilator relationships inside a rough semiring is its annihilator graph. This paper introduces and investigates rough annihilator graph, denoted RAG(T), of the commutative rough semiring T.
Sudha B., Praba B., Pramita Mishra
wiley   +1 more source

On L-Fuzzy Topological Semigroups

Journal of Mathematical Analysis and Applications, 1993
With \(L\) as a complete Heyting algebra, \(\mu: X\to L\) an \(L\)-fuzzy subset of \(X\), the author has defined \(L\)-fuzzy topological space \((X,\mu,F)\) where \(F\subset L^ x\) satisfies some given conditions; he has defined the category FTOP by the collection of all \(L\)-fuzzy topological spaces with suitably defined morphisms. In a category \(C\)
openaire   +2 more sources

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

The group of characters of a pseudocompact locally compact semitopological semigroup

Applied General Topology
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
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Delving Into the Depths of the Properties and Behavior of Bipolar Pythagorean Neutrosophic Metric Spaces: A Theoretical Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper advances the theory of bipolar Pythagorean neutrosophic fuzzy (BPNF) sets by establishing their formalization within a topological and metric framework, while also demonstrating their role in decision‐making under uncertainty. The main contributions are as follows: (1) definition and characterization of BPNF topological spaces, providing a ...
Akiladevi Natarajan, Santhi Rathinasamy, Prasantha Bharathi Dhandapani, Md. Fayz-Al-Asad, Samy R. Mahmoud, Tareq Al-Shami   +5 more
wiley   +1 more source

On the closure of the extended bicyclic semigroup

Karpatsʹkì Matematičnì Publìkacìï, 2011
In the paper we study the semigroup $mathscr{C}_{mathbb{Z}}$which is a generalization of the bicyclic semigroup. We describemain algebraic properties of the semigroup$mathscr{C}_{mathbb{Z}}$ and prove that every non-trivialcongruence $mathfrak{C}$ on the
I. R. Fihel, O. V. Gutik
doaj