Revistas académicas de la Universidad Católica del Norte
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Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces
No full textIn this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation
in 2-Banach spaces by using Brzdȩk’s fixed point approach.
 
Restricted triangular difference mean graphs
No full textLet G = (V,E) be a graph with p vertices and q edges. Consider an injection f : V (G) → {1, 2, 3, ..., pq}. Define f∗ : E(G) → {T1, T2, T3, ..., Tq}, where Tq is the qth triangular number such that f∗(e) = for all edges e = uv. If f∗(E(G)) is a sequence of consecutive triangular numbers T1, T2, T3, ..., Tq, then the function f is said to be restricted triangular difference mean. A graph that admits restricted triangular difference mean labeling is called restricted triangular difference mean graph. In this paper, we investigate restricted triangular difference mean behaviour of some standard graph
Statistical convergence of complex uncertain sequences defined by Orlicz function
No full textComplex uncertain variables are measurable functions from an uncertainty space to the set of complex numbers and are used to model complex uncertain quantities. This paper introduces the statistical convergence concepts of complex uncertain sequences: statistical convergence almost surely(a.s.), statistical convergence in measure, statistical convergence in mean, statistical convergence in distribution and statistical convergence uniformly almost surely sequences of complex uncertain sequences defined by Orlicz function. In addition, Decomposition Theorems and relationships among them are discussed
Convergence analysis for combination of equilibrium problems and k-nonspreading set-valued mappings
No full textWe find a common solution of generalized equilibrium problems and the set of fixed points of a k-nonspreading setvalued mapping by using shrinking projection hybrid method. Finally, we compare the shrinking solution set after randomization by giving numerical example which justifies our main result
Skew-field of trace-preserving endomorphisms, of translation group in affine plane
No full textWe will show how to constructed an Skew-Field with trace-preserving endomorphisms of the affine plane. Earlier in my paper, we doing a detailed description of endomorphisms algebra and trace-preserving endomorphisms algebra in an affine plane, and we have constructed an associative unitary ring for which trace-preserving endomorphisms. In this paper we formulate and prove an important Lemma, which enables us to construct a particular trace-preserving endomorphism, with the help of which we can construct the inverse trace-preserving endomorphisms of every trace-preserving endomorphism. At the end of this paper we have proven that the set of tracepreserving endomorphisms together with the actions of ’addition’ and ’composition’ (which is in the role of ’multiplication’) forms a skewfield
Multiplicative degree based topological indices of some chemical structures in drug
No full textIn quantitative structure property relationship analysis (QSPR) and quantitative structure property relationship analysis (QSAR) the correlation between different properties/activities and molecular structure of chemical compounds is investigated which is helpful in drug design. Topological index is an useful tool to predict different physical and chemical properties of molecule by collecting information from the molecular graph. In this article, multiplicative degree based topological indices are obtained for some chemical structures widely used in drug design, especially in anticancer drug discovery. To visualize the indices, the results are interpreted graphically
Corrigendum to “Orlicz-Lorentz Spaces and their Composition Operators” [Proyecciones (Antofagasta). 34, (2015) No 1, pp. 85-105.]
No full textAfter publication of the above article in Proyecciones (Antofagasta). Volume 34, (2015) No 1, pp. 85-105, it has come to the attention of the authors that an extra condition was missing in Theorem 3.
Solution of integral equations via new Z-contraction mapping in Gb-metric spaces
No full textWe introduce a new type of (α, β)-admissibility and (α, β)-Z-contraction mappings in the frame work of Gb-metric spaces. Using these concepts, fixed point results for (α, β)-Z-contraction mappings in the frame work of complete Gb-metric spaces are established. As an application, we discuss the existence of solution for integral equation of the form: x(t) = g(t) + ∫10 K(t, s, u(s))ds, t ∈ [0, 1], O. T. Mewomowhere K : [0, 1]×[0, 1]×R → R and g : [0, 1] → R are continuous functions. The results obtained in this paper generalize, unify and improve the results of Liu et al., [19], Antonio-Francisco et al. [25], Khojasteh et al. [16], Kumar et al. [18] and others in this direction
Sharp inequality of three point Gauss-Legendre quadrature rule
No full textAn interesting identity for 3-point Gauss-Legendre quadrature rule using functions that are n-times differentiable. By applying the established identity, a sharp inequality which gives an error bound for 3-point Gauss-Legendre quadrature rule and some generalizations are derived. At the end, an application in numerical integration is given
Redefined Zagreb indices of Rhombic, triangular, Hourglass and Jagged-rectangle benzenoid systems
No full textIn the fields of mathematical chemistry and chemical graph theory, a topological index generally called a connectivity index is a kind of a molecular descriptor that is calculated in perspective of the molecular graph of a chemical compound. Topological indices are numerical parameters of a graph which depict its topology and are graph invariant up to graph isomorphism. Topological indices are used for example in the progression of quantitative structure-activity relationships (QSARs) in which the common activity or distinctive properties of atoms are connected with their molecular structure. There are in excess of 140 topological indices but none of them totally describe the molecular compound completely so there is dependably a space to characterize and register new topological indices. Benzenoid Systems are utilized basically as an intermediate to make different synthetic compounds. In this report we aim to compute redefined Zagreb indices for Zigzag, Rhombic, triangular, Hourglass and Jagged-rectangle Benzenoid systems