JAEM 2023, Vol 13, No 3

Standard single valued neutrosophic metric spaces with application

Sat, 01 Jul 2023 00:00:00 GMT

Standard single valued neutrosophic metric spaces with application Barkat, Omar; Milles, Soheyb; Latreche, Abdelkrim In recent years, J. R. Kider and Z.A. Hussain have introduced the notion of standard fuzzy metric space and some basic properties were proved. In this paper, we generalize this notion to the setting of single valued neutrosophic sets. Furthermore, some interesting properties related to this notion are studied such as the continuity property of the mappings defined on standard single valued neutrosophic metric spaces. As an application, we establish the Edelstein fixed point theorem for standard single valued neutrosophic metric spaces.

Minimum generating sets for complete graphs

Sat, 01 Jul 2023 00:00:00 GMT

Minimum generating sets for complete graphs Altınok, Selma; Dilaver, Gökçen Let G be a graph with edges labeled by ideals of a commutative ring R with identity. Such a graph is called an edge-labeled graph over R. A generalized spline is a vertex labeling so that the difference between the labels of any two adjacent vertices lies in the ideal corresponding to the edge. These generalized splines form a module over R. In this paper, we consider complete graphs whose edges are labeled with proper ideals of Z/mZ. We compute minimum generating sets of constant flow-up classes for spline modules on edge-labeled complete graphs over Z/mZ and determine their rank under some restrictions.

Extinction of cholera using deterministic and stochastic models incorporating vigilant human compartment

Sat, 01 Jul 2023 00:00:00 GMT

Extinction of cholera using deterministic and stochastic models incorporating vigilant human compartment Adewole, Matthew Olayiwola; Izani, Ismail Ahmad; Abdullah, Farah Aini; Faniran, Taye Samuel We study the effect of vaccination, sanitation and public health sensitization as prevention and control measures of cholera in deterministic and stochastic frameworks. To achieve this, a deterministic mathematical model incorporating the class of vigilant individuals is proposed and analyzed. The results from the stability analysis show that the disease-free equilibrium solution is globally asymptotically stable if R0 < 1. The model is then extended to incorporate random effect using the method of transition probabilities. Numerically, we approximate the expected extinction time of the disease if certain conditions are satisfied. As Vibrio cholerae multiplies at a fast rate in the environment, it is recommended that regular disinfection of the affected areas as well as public health sensitization be done.

Coincidence point results for hybrid pair of mappings on a dislocated metric space endowed with an arbitrary binary relation

Sat, 01 Jul 2023 00:00:00 GMT

Coincidence point results for hybrid pair of mappings on a dislocated metric space endowed with an arbitrary binary relation Kumar Mohanta, Sushanta; Biswas, Priyanka We introduce the notion of generalized S-contraction of Nadler type and prove some new coincidence point results for hybrid pair of mappings in 0-complete dislocated metric spaces endowed with an arbitrary binary relation. Our results generalize, extend and unify several well known comparable results including Nadler’s fixed point theorem in the setting of dislocated metric spaces. As some applications of our main result, we can obtain several important fixed point results of multi-valued mappings satisfying some contractive type conditions of Kannan type, Fisher type etc. in this new framework. Moreover, we provide some examples to justify that the generalization is proper.