IJPAM: Volume 103, No. 4 (2015)

BIOPERATIONS ON $\alpha$-OPEN SETS
IN TOPOLOGICAL SPACES

Alias B. Khalaf$^1$, Saeid Jafari$^2$, Hariwan Z. Ibrahim$^3$
$^1$Department of Mathematics
Faculty of Science
University of Duhok
Kurdistan, Region, IRAQ
$^2$College of Vestsjaelland South
Herrestraede 11, 4200 Slagelse, DENMARK
$^3$Department of Mathematics
Faculty of Science
University of Zakho
Kurdistan, Region, IRAQ


Abstract. In this paper, we introduce the concept of $\alpha_{[\gamma, \gamma^{'}]}$-open sets in topological spaces and study some of their properties. Furthermore, we offer a new class of functions called $(\alpha_{[\gamma, \gamma^{'}]}$, $\alpha_{[\beta, \beta^{'}]})$-continuous functions and investigate their fundamental properties.

Received: April 3, 2015

AMS Subject Classification: 54A05, 54A10

Key Words and Phrases: bioperation, $\alpha$-open set, $\alpha_{[\gamma, \gamma^{'}]}$-open set

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DOI: 10.12732/ijpam.v103i4.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 4
Pages: 653 - 666


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