Results on soft continuous functions in the soft topological spaces equipped with soft Scott topology

Volume 10, Issue 3, pp 1183--1194 http://dx.doi.org/10.22436/jnsa.010.03.26

Publication Date: March 20, 2017 Submission Date: August 01, 2016

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Authors

Gözde Yaylali - Department of Mathematics, Faculty of Science, Muğla Sıtkı Kocman University, Muğla, Turkey. Bekir Tanay - Department of Mathematics, Faculty of Science, Muğla Sıtkı Kocman University, Muğla, Turkey.

Abstract

In this study, some properties of soft Scott topology are examined and some relations between soft Scott topology and way below soft set relations are shown. Also the notion of soft Scott continuous function on soft topological spaces, which is equipped with soft Scott topology, is defined by focusing on the structure of the continuity of soft function and some examples are illustrated. Besides these, least fixed point theorem is proved for soft Scott continuous functions.

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Keywords

• Soft set
• soft topology
• soft continuous function
• soft Scott topology
• least fixed point theorem.
• Soft set
• soft topology
• soft continuous function
• soft Scott topology
• least fixed point theorem.

MSC

•  03E72
•  54J99
•  54A40
•  54A99
•  47H10

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