Soft D-metric spaces

“…The notion of soft topological spaces is introduced in [6]. Then researchers modified several concepts of classical topological spaces to include soft topological spaces, some recently published soft topological papers are appeared in [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. For the purpose of improving some known topological theorems, Hdeib [27] introduced the notion of ω-closed sets as a weaker notion of closed sets as follows: Let (X, ) be a topological space and A a subset of X.…”

Section: Introductionmentioning

confidence: 99%

On Two Classes of Soft Sets in Soft Topological Spaces

Ghour

Hamed

2020

Symmetry

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In this paper, we define soft ω-open sets and strongly soft ω-open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known results in ordinary topological spaces regarding ω-open sets in soft topological spaces. Also, we study the relationships between the ω-open sets of a given indexed family of topological spaces and the soft ω-open sets (resp. strongly soft ω-open sets) of their generated soft topological space. These relationships form a biconditional logical connective which is a symmetry. As an application of strongly soft ω-open sets, we characterize soft Lindelof (resp. soft weakly Lindelof) soft topological spaces.

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Soft $A$-Metric Spaces

Poşul

Gündüz

Kutukcu

2022

Journal of New Theory

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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.

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Soft D-metric spaces

Abstract: The ﬁrst aim to this paper is to deﬁne soft D− metric spaces and to give some fundamentel deﬁnitions. In addition to, we prove ﬁxed point theorem of soft continuous mappings on soft D− metric spaces.

Cited by 3 publications

References 11 publications

Study of Metric Space and Its Variants

Study of Metric Space and Its Variants

On Two Classes of Soft Sets in Soft Topological Spaces

Soft $A$-Metric Spaces

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