Results 11 to 20 of about 3,484,215 (187)

Closing Aubry Sets I

open access: yesCommunications on Pure and Applied Mathematics, 2014
Given a Tonelli Hamiltonian H:T*M → ℝ of class Ck, with k ≥ 2, we prove the following results: (1) Assume there exist a recurrent point of the projected Aubry set and a critical viscosity subsolution u such that u is a C1 critical solution in an open neighborhood of the positive orbit of . Suppose further that u is “C2 at ”.
Figalli, Alessio, Rifford, Ludovic
openaire   +4 more sources

Graphs of commutatively closed sets [PDF]

open access: yesLinear and Multilinear Algebra, 2021
The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of their associated graphs. We introduce commutatively closed graphs and investigate properties of commutatively closed subsets of a ring with the help of graph theory. A particular attention is paid to constructions of subsets of
Leroy, André, Abdi, Mona
openaire   +2 more sources

Closed neutrosophic dominating set in neutrosophic graphs [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
The aim of this article is to concentrate on the notion of closed neutrosophic domination (CND) number 𝛾𝑐𝑙 (𝐺) of a neutrosophic graph (NG) with using effective edge, furthermore we gain a few outcomes on this notion, the relation between 𝛾𝑐𝑙 (𝐺) and ...
Amir Majeed Nabeel Arif
doaj   +1 more source

Minimal closed sets and maximal closed sets

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
Some properties of minimal closed sets and maximal closed sets are obtained, which are dual concepts of maximal open sets and minimal open sets, respectively. Common properties of minimal closed sets and minimal open sets are clarified; similarly, common properties of maximal closed sets and maximal open sets are obtained.
Fumie Nakaoka, Nobuyuki Oda
openaire   +3 more sources

Finding subsets of positive measure [PDF]

open access: yes, 2014
An important theorem of geometric measure theory (first proved by Besicovitch and Davies for Euclidean space) says that every analytic set of non-zero $s$-dimensional Hausdorff measure $\mathcal H^s$ contains a closed subset of non-zero (and indeed ...
Kjos-Hanssen, Bjørn, Reimann, Jan
core   +1 more source

On some problems of instability in semi-dynamical systems

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
The problem of instability of a closed positively invariant set M of a semi-dynamical system on an arbitrary metric space X is considered. The Lyapunov’s direct method for such problems has been developed quite completely in the case when M is compact ...
Boris S. Kalitine
doaj   +1 more source

Generalized h-Closed Sets in Topological Space [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2022
This study introduce a new type of closed sets in topology called Generalized h-closed sets (briefly, gh-closed) define as follow: E  ⊆ χ  be gh-closed set if CLh (E)⊆ U  whenever E ⊆ U and U is open set in (&chi ...
Beyda S. Abdullah
doaj   +1 more source

Subtraction Menger algebras [PDF]

open access: yes, 2010
characterizations of Menger algebras of partial $n$-place functions defined on a set $A$ and closed under the set-theoretic difference functions treatment as subsets of the Cartesian product $A^{n+1}$ are ...
B.M. Schein   +12 more
core   +2 more sources

Some new results on $\star$-metric spaces

open access: yesJournal of New Results in Science, 2023
The concept of $\star$-metric, based on the relaxation of triangle inequality of metric axioms by using a t-definer, was introduced by Khatami and Mirzavaziri.
Tarapada Bag, Abhishikta Das
doaj   +1 more source

Topological Mappings Based on SPG*-Closed Set

open access: yesWasit Journal of Computer and Mathematics Science, 2022
In this paper, we introduce the concept of SPG*-closed mapping and continuous mapping among which SPG-closed mappings, SPG*-closed mappings and SPG**-closed mappings and the relationship between them, and also SPG-continuous mappings, SPG*-continuous ...
Prof. Dr. Ali khalaf hussain   +1 more
doaj   +1 more source

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