Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
The main purpose of this article is to introduce the concept of soft2-metric spaces that are new metric spaces based on the soft-elements and to study their properties, also to introduce some related concepts such as soft2- open ball, soft2 closed ball, soft2- open sets, soft2 closed sets, soft2-interior elements, soft2-limit elements, soft2-closure of sets, and study some of their properties. And that is proved that every soft2- open ball is a soft2- open set, every soft2- closed ball is a soft2- closed set. And reformulated and proved some theorems in soft2-metric space, such as Cantor's theorem and other theorems.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0100201
Vol. 10 Issue. 2 PP. 08-18, (2024)
This article presents the development of families of approaches for numerically solving singularly perturbed two-point boundary-value problems using exponential spline functions. The proposed approaches exhibit second-order and fourth-order accuracy and are suitable for both singular and non-singular problem scenarios. Numerical data are presented to demonstrate the efficacy of our methodologies and are compared with those proposed by various writers.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0100202
Vol. 10 Issue. 2 PP. 19-26, (2024)
Recently Turiyam set and its algebra is introduced for dealing with the data containing human quantum cognition. This paper tries to extend the applications of Turiyam set while profile characterization at Social Network. To achieve this goal, a method is proposed for characterization of social network profiles in true regions (t), false region (f), Neutro region (i) and Liberal or Turiyam region (l), independently. The proposed method also provides implementation to understand the concept of Turiyam logic. In addition, many real life examples for data with Turiyam attributes is given with its four way characterization.
Read MoreDoi: https://doi.org/10.54216/GJMSA.0100203
Vol. 10 Issue. 2 PP. 27-43, (2024)