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Год публикации : 2020 ✕Ученые : İsmet ALTINTAŞ ✕
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Prof. Dr. İsmet ALTINTAŞFen Fakültesi
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A new approach for soft topology and soft function via soft element

İsmet ALTINTAŞ

In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe ...Более

Статья 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 68 Просмотры
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Countable and separable elementary soft topological space

İsmet ALTINTAŞ

This paper is an introduction to countable and separable elementary soft topological spaces, which includes concepts such as dense soft set, first countability, second countability, separability and Lindelof properties and some basic properties of them in the elementary soft topological spaces.

Статья 2020 Fen Fakültesi Mathematical Methods in the Applied Sciences44 ( 9 ) 39 Просмотры
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Compactness of soft cone metric space and fixed point theorems related to diametrically contractive mapping

İsmet ALTINTAŞ

In this article, we describe the concepts such as sequentially soft closeness, sequential compactness, totally boundedness and sequentially continuity in any soft cone metric space and prove their some properties. Also, we examine soft closed set, soft closure, compactness and continuity in an elementary soft topological cone metric space. Unlike classical cone metric space, sequential compactness and compactness are not the same here. Because the compactness is an elementary soft topological property and cannot be defined for every soft cone metric space. However, in the restricted soft cone ...Более

Статья 2020 Fen Fakültesi Turkish Journal of Mathematics44 ( 6 ) 61 Просмотры
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