## Abstract and Applied Analysis

### Soft $\alpha$-Open Sets and Soft $\alpha$-Continuous Functions

#### Abstract

We introduce soft $\alpha$-sets on soft topological spaces and study some of their properties. We also investigate the concepts of soft $\alpha$-continuous and soft $\alpha$-open functions and discuss their relationships with soft continuous and other weaker forms of soft continuous functions. Also counterexamples are given to show the noncoincidence of these functions.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 891341, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412273201

Digital Object Identifier
doi:10.1155/2014/891341

Mathematical Reviews number (MathSciNet)
MR3176778

Zentralblatt MATH identifier
1306.54026

#### Citation

Akdag, Metin; Ozkan, Alkan. Soft $\alpha$ -Open Sets and Soft $\alpha$ -Continuous Functions. Abstr. Appl. Anal. 2014 (2014), Article ID 891341, 7 pages. doi:10.1155/2014/891341. https://projecteuclid.org/euclid.aaa/1412273201

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