Soft $A$-Metric Spaces

Authors : Hande POŞUL, Çiğdem GÜNDÜZ, Servet KÜTÜKCÜ

Pages : 70-81

Doi:10.53570/jnt.1177525

View : 19 | Download : 8

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :This paper draws on the theory of soft $A$-metric space using soft points of soft sets and the concept of $A$-metric spaces. This new space has great importance as a new type of generalisation of metric spaces since it includes various known metric spaces. In this paper, we introduce the concept of soft $A$-metric space and examine the relations with known spaces. Then, we examine various basic properties of these spaces: soft Hausdorffness, a soft Cauchy sequence, and soft convergence.
Keywords : Soft metric, A metric, soft A metric