In this paper, I have introduced half-metric spaces on normed vector spaces over \(\mathbb{R}\) or \(\mathbb{C}\), which are similar to metric spaces by relaxing a few conditions of metric space.I have also introduced even half-metric spaces,established some properties and discus...
Open access
Research Article10.9734/arjom/2022/v18i230361
This paper analyses Ghana’s gross domestic product using time series Autoregressive Integrated Moving Average (ARIMA). Time series analysis involves the application of statistical models to time series data and is useful for analysing the dynamics of Gross domestic product. The G...
Open access
Research Article10.9734/arjom/2022/v18i230359
In this paper, an SEIR epidemic model with nonlinear incidence is considered. First, we formulate the model and obtain its basic properties. Then, we find the equilibrium points of the model, the disease-free and the endemic equilibrium. The stability of disease-free and endemic...
Open access
Research Article10.9734/arjom/2022/v18i230360
In this paper, l demonstrates the performance and efficiency of new line search methods with three-term hybrid descent method for the solution of unconstrained optimization problems (UOPs). The techniques advanced the sustainable range of step-length to a broader level than the p...
Open access
Research Article10.9734/arjom/2022/v18i230358
As an effective method for solving linear and nonlinear equations, the homotopy perturbation method is usually applied to solving relevant problems. We analyze 74 studies on the application of the homotopy perturbation method and present a comprehensive review of them with the co...
Open access
Research Article10.9734/arjom/2022/v18i230357
Supplementary variables associated with the study variables have been identified to be helpful in improving the efficiency of ratio, product and regression estimators both at planning and estimation stages. The existing regression-based estimators are functions of regression slop...
Open access
Research Article10.9734/arjom/2022/v18i230356
The use of relevant information from auxiliary variable at the estimation stage and design stage to obtain reliable and efficient estimate is a common practice is a sample survey. But situations arise when the available auxiliary information are attribute in nature. There are som...
Open access
Research Article10.9734/arjom/2022/v18i130355
An effective one-step hybrid block for getting the approximate solution of a fifth-order IVP with applications to problems in the sciences and engineering is constructed in this study. The mathematical formulation of the method is based on the principle of interpolation and collo...
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Research Article10.9734/arjom/2022/v18i130354
Let X be a Complex Banach space and T be a bounded operator in X. The number sup {|λ| : λ ∈ σ(T)} (where σ(T) is the spectrum of T and σ(T) ̸= ϕ) is called the spectral radius of T and denoted by r(T). Since λ ≤ ∥T∥for all λ ∈ σ(T), it follows that r(T) ≤ ∥T∥. The spectral mappin...
Open access
Research Article10.9734/arjom/2022/v18i130353
The present paper analyzes the second-order fractional Fredholm integro-differential equations by means of the Caputo definition in the fractional calculus (FC). The exact solutions are obtained for two examples utilizing a direct solution method. Furthermore, it is shown that th...
Open access
Research Article10.9734/arjom/2022/v18i130352