Revistas académicas de la Universidad Católica del Norte
Not a member yet
1687 research outputs found
Sort by
Distance in plithogenic product fuzzy graphs
No full textThe notions of distance and central concepts are crucial in any fuzzy network. In this study, we newly introduce Plithogenic μ-distance and Plithogenic geodesic distance in Plithogenic product fuzzy graphs (PPFGs), which are multi-attribute graphical representations. Using these metrics, central concepts such as eccentricity, radius, diameter, Plithogenic μ-centre and Plithogenic geodesic centre in PPFGs are newly discussed. An investigation is also made to study the relation between these concepts with an application in traffic management.
An application of the Stone-Weierstrass Theorem
No full textLet (X, τ) be a topological space, we will denote by |X|,|X|K, |X|τ and |X|δ, the cardinalities of X; the family of compacts in X; the family of closed in X, and the family of Gδ-closed in X, respectively. The purpose of this work is to establish relationships between these four numbers and conditions under which two of them coincide or one of them is ≤ c, where c denotes, as usual, the cardinality of the set of real numbers R. We will use the Stone-Weierstrass theorem to prove that: Let (X, τ) be a compact Hausdorff topological space, then |X|δ ≤ |X|ℵ
The structure of power digraph connected with the congruence a¹¹ ≡ b(mod n)
No full textWe assign to each positive integer n a digraph Γ(n, 11) whose set of vertices is Zn = {0, 1, 2, ..., n − 1} and there exists exactly one directed edge from a to b if and only if a11 ≡ b(mod n), where a, b ∈ Zn. Let Γ1(n, 11) be the subdigraph induced by the vertices which are coprime to n. We discuss when the subdigraph Γ1(n, 11) is regular or semi-regular. A formula for the number of fixed points of Γ(n, 11) is established. A necessary and sufficient condition for the symmetry of the digraph Γ(n, 11) is proved. Moreover, using Carmichael ́s lambda function, the number of components and conditions for the existence of cycles in the digraph Γ(n, 11) is presented
Rigidity results for submanifolds in generalized Sasakian space forms
No full textIn this article, generalized Saasakian space forms are discussed and invariant submanifolds of these space forms are examined. The curvature tensor chosen is of great importance when examining the characterization of a manifold. In this article, invariant submanifolds of generalized Sasakian space forms are characterized according to the W∗0 −curvature tensor and pseudoparallel submanifolds are investigated for these space forms
A note on free determinantal hypersurface arrangements in P¹⁴C
No full textIn the present note we study determinantal arrangements constructed with use of the 3-minors of a 3 × 5 generic matrix of indeterminates. In particular, we show that certain naturally constructed hypersurface arrangements in P14C are free
Fractional neutral stochastic integrodifferential equations with Caputo fractional derivative: Rosenblatt process, Poisson jumps and Optimal control
No full textThe objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of fractional neutral stochastic integrodifferential equations driven by Rosenblatt process and Poisson jumps in Hilbert spaces. First we establish a new set of sufficient conditions for the existence of mild solutions of the aforementioned fractional systems by using the successive approximation approach.
The results are formulated and proved by using the fractional calculus, solution operator and stochastic analysis techniques. The existence of optimal control pairs of system governed by fractional neutral stochastic differential equations driven by Rosenblatt process and poisson jumps is also been presented. An example is provided to illustrate the theory
Characterization of nonuniform wavelets associated with ??-MRA on L²(Λ)
No full textAhmad, Bhat and Sheikh characterized composite wavelets based on results of affine and quasi affine frames. We continued their study and provided the characterization of nonuniform composite wavelets based on results of affine and quasi affine frames. Moreover all the nonuniform composite wavelets associated with ?? -MRA are characterized on L2(Λ)
Riesz I–convergent sequence spaces
No full textIn this article we have introduced some new sequence spaces as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces
Mappings preserving sum of products a◊b + b*a (resp., a*◊b + ab*) on ∗-algebras
No full textLet A and B be two prime complex ∗-algebras. We proved that every bijective mapping Φ : A → B satisfying Φ(a ◊+ b∗ a) = Φ(a)◊Φ(b) + Φ(b)∗Φ(a) (resp., Φ(a∗ ◊b + ab∗) = Φ(a)∗ ◊Φ(b) + Φ(a)Φ(b)∗), where a ◊b = ab + ba∗, for all elements a, b ∈ A, is a ∗-ring isomorphism
Subspace graph topological space of graphs
No full textA graph topology defined on a graph G is a collection ? of subgraphs of G which satisfies the properties such as K0, G ∈ ? and ? is closed under arbitrary union and finite intersection. Let (X, T) be a topological space and Y ⊆ X then, TY = {U ∩ Y : U ∈ T} is a topological space called a subspace topology or relative topology defined by T on Y. In this P1 we discusses the subspace or the relative graph topology defined by the graph topology ? on a subgraph H of G. We also study the properties of subspace graph topologies, open graphs, d-closed graphs and nbd-closed graphs of subspace graph topologies