On fixed soft element theorems in se-uniform spaces

Volume 9, Issue 3, pp 1230--1242 http://dx.doi.org/10.22436/jnsa.009.03.48

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Authors

İzzettin Demir - Department of Mathematics, Duzce University, 81620, Duzce, Turkey. Oya Bedre Özbakır - Department of Mathematics, Ege University, 35100, Izmir, Turkey. İsmet Yıldız - Department of Mathematics, Duzce University, 81620, Duzce, Turkey.

Abstract

First we introduce a new structure of uniform spaces, called se-uniform spaces, and provide some of their basic properties. Next, we present the notion of a soft E-distance in se-uniform spaces, which is a soft version of E-distance of Aamri and El Moutawakil [M. Aamri, D. El Moutawakil, Acta Math. Acad. Peadegog. Nyhazi., 20 (2004), 83-91]. Then, by using the soft E-distance, we establish some fixed soft element theorems for various mappings on se-uniform spaces, which are the main results of the paper. This is the first kind of such results in this direction.

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Keywords

• Soft order
• se-uniform space
• soft E-distance
• fixed soft element.

MSC

•  47H10
•  54E15

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