On fixed soft element theorems in se-uniform spaces
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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.
Share and Cite
ISRP Style
İzzettin Demir, Oya Bedre Özbakır, İsmet Yıldız, On fixed soft element theorems in se-uniform spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 1230--1242
AMA Style
Demir İzzettin, Özbakır Oya Bedre, Yıldız İsmet, On fixed soft element theorems in se-uniform spaces. J. Nonlinear Sci. Appl. (2016); 9(3):1230--1242
Chicago/Turabian Style
Demir, İzzettin, Özbakır, Oya Bedre, Yıldız, İsmet. "On fixed soft element theorems in se-uniform spaces." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 1230--1242
Keywords
- Soft order
- se-uniform space
- soft E-distance
- fixed soft element.
MSC
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