Proyecciones. Revista de Matemática http://www.revistaproyecciones.cl/ <p align="justify">La revista&nbsp;Proyecciones. Journal of Mathematics es una publicación científica, sin fines de lucro, oficial de la Universidad Católica del Norte, Antofagasta, Chile. Fue fundada en 1982 y depende del Departamento de Matemáticas de la Universidad Católica del Norte.<br>Proyecciones. Journal of Mathematics edita un volumen con 4 números al año.</p> Universidad Católica del Norte. es-ES Proyecciones. Revista de Matemática 0716-0917 Star edge coloring of corona product of path and wheel graph families. http://www.revistaproyecciones.cl/article/view/3269 <p>A star edge coloring of a graph G is a proper edge coloring without bichromatic paths and cycles of length four. In this paper, we obtain the star edge chromatic number of the corona product of path with cycle, path with wheel, path with helm and path with gear graphs, denoted by Pm ◦ Cn, Pm ◦ Wn, Pm ◦ Hn, Pm ◦ Gn respectively.</p> K. Kaliraj R. Sivakami Vivin J. Vernold ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 593 601 On some difference sequence spaces of interval numbers. http://www.revistaproyecciones.cl/article/view/3270 <p>In this paper we introduce the sequence spaces c0<sup>i</sup>(∆) ,c<sup>i</sup>(∆) and l<sup>i</sup>&nbsp;<sub>∞</sub>(∆) of interval numbers and study some of their algebraic and topological properties. Also we investigate some inclusion relations related to these spaces.</p> Binod Chandra Tripathy Shyamal Debnath Subrata Saha ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc/4.0 2018-11-22 2018-11-22 37 4 603 612 Odd Vertex equitable even labeling of cyclic snake related graphs. http://www.revistaproyecciones.cl/article/view/3271 <p>Let G be a graph with p vertices and q edges and A = {1, 3, ..., q} if q is odd or A = {1, 3, ..., q + 1} if q is even. A graph G is said to admit an odd vertex equitable even labeling if there exists a vertex labeling f : V (G) → A that induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv such that for all a and b in A, |vf (a) − vf (b)| ≤ 1 and the induced edge labels are 2, 4, ..., 2q where vf (a) be the number of vertices v with f(v) = a for a ∈ A. A graph that admits an odd vertex equitable even labeling is called an odd vertex equitable even graph. Here, we prove that the graph nC4-snake, CS(n1, n2, ..., nk), ni ≡ 0(mod4),ni ≥ 4, be a generalized kCn -snake, TÔQS<sub>n</sub>&nbsp;and TÕQS<sub>n</sub>&nbsp;are odd vertex equitable even graphs.</p> P. Jeyanthi A. Maheswari ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 613 625 Fekete-Szego problem for certain analytic functions defined by q−derivative operator with respect to symmetric and conjugate points. http://www.revistaproyecciones.cl/article/view/3272 <p>Recently, the q−derivative operator has been used to investigate several subclasses of analytic functions in different ways with different perspectives by many researchers and their interesting results are too voluminous to discuss. For example, the extension of the theory of univalent functions can be used to describe the theory of q−calculus, q−calculus operator are also used to construct several subclasses of analytic functions and so on. In this work, we considered the FeketeSzego problem for certain analytic functions defined by q−derivative operator with respect to symmetric and conjugate points. The early few coefficient bounds were obtained to derive our results.</p> S. O. Olatunji H. Dutta ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 627 635 Fuzzy soft attribute correlation coefficient and application to data of human trafficking. http://www.revistaproyecciones.cl/article/view/3273 <p>In this paper, we introduce fuzzy soft attribute correlation coefficient and apply it to find the correlation between vulnerability government response of various countries related to human trafficking based on six regions with the help of data from “The Global Slavery Index 2016”. Comparison of fuzzy soft attribute correlation coefficients is done with the conventional analysis of sociology by calculating Pearson’s zero-order product-moment correlations. Along with these, some fundamental concepts of mathematical statistics are developed with respect to fuzzy soft set.</p> Santanu Acharjee Diganta Jyoti Sarma Robert A. Hanneman John N. Mordeson Davender S. Malik ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 637 681 A new type of difference operator Δ3 on triple sequence spaces. http://www.revistaproyecciones.cl/article/view/3274 <p>In this paper we have introduced and investigated the difference triple sequence spaces c³<sub>0</sub>(Δ³), c³(Δ³), c³<sup>R</sup>(Δ³), ????³<sub>∞</sub>(Δ³) and c³<sup>B</sup>(Δ³) applying the difference operator Δ³, on the triple sequence (xlmn) and studied some of their algebraic and topological properties. We have also proved some inclusion relation involving these sequence spaces.</p> Bimal Chandra Das ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 683 697 Multiset ideal topological spaces and local functions. http://www.revistaproyecciones.cl/article/view/3275 <p>In this article we have introduced the notion of multiset local function on an ideal topological space using the the concept of q-neighbourhood in a multiset topological space. Some basic properties of local functions on multisets have been investigated in multiset ideal topological space.</p> Karishma Shravan Binod Chandra Tripathy ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 699 711 On rough convergence of triple sequence spaces of Bernstein-Stancu operators of fuzzy numbers defined by a metric function. http://www.revistaproyecciones.cl/article/view/3276 <p>We define the concept of rough limit set of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Bernstein-Stancu polynomials of fuzzy numbers. Finally, we investigate some properties of the rough limit set of Bernstein-Stancu polynomials.</p> M. Jeyaram Bharathi S. Velmurugan A. Esi N. Subramanian ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 713 730 Dual third-order Jacobsthal quaternions. http://www.revistaproyecciones.cl/article/view/3277 <p>In 2016, Yüce and Torunbalcı Aydın (<sup>18</sup>) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers. Furthermore, we gave some their quadratic properties, the summations, the Binet’s formulas and Cassini-like identities for these quaternions.</p> Gamaliel Cerda-Morales ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 731 747 New interpretation of elliptic Boundary value problems via invariant embedding approach and Yosida regularization. http://www.revistaproyecciones.cl/article/view/3278 <p>The method of invariant embedding for the solutions of boundary value problems yields an equivalent formulation to the initial boundary value problems by a system of Riccati operator differential equations. A combined technique based on invariant embedding approach and Yosida regularization is proposed in this paper for solving abstract Riccati problems and Dirichlet problems for the Poisson equation over a circular domain. We exhibit, in polar coordinates, the associated Neumann to Dirichlet operator, somme concrete properties of this operator are given. It also comes that from the existence of a solution for the corresponding Riccati equation, the problem can be solved in appropriate Sobolev spaces.</p> Nadra Bouarroudj Lekhmissi Belaib Bekkai Messirdi ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 749 764 Quiver representations and their applications. http://www.revistaproyecciones.cl/article/view/3279 <p>In this article, we survey some results on geometric methods to study quiver representations, and applications of these results to sheaves, equivariant sheaves and parabolic bundles.</p> Sanjay Amrutiya ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 765 803 Generalized centroid of Γ-semirings. http://www.revistaproyecciones.cl/article/view/3280 <p>We define and study the generalized centroid of a semiprime Γ-semiring. We show that the generalized centroid C<sub>Γ</sub>&nbsp;is a multiplicatively reguler Γ-semiring and so Γ-semifield and give some properties of the generalized centroid of a semiprime Γ-semiring.</p> Hasret Durna Damla Yilmaz ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc/4.0/ 2018-11-22 2018-11-22 37 4 805 817