IJPAM: Volume 118, No. 2 (2018)

Title

APPLICATIONS OF
AN OPERATION APPROACHES ON $SC$-OPEN SETS

Authors

Baravan A. Asaad$^{1,2}$, Zanyar A. Ameen$^3$
$^1$Department of Computer Science
College of Science
Cihan University-Duhok, Kurdistan-region, IRAQ
$^2$Department of Mathematics
Faculty of Science
University of Zakho, Kurdistan-region, IRAQ
$^3$Department of Mathematics
Faculty of Science
University of Duhok
Kurdistan-region, IRAQ

Abstract

The paper introduces the concept of an operation on $SCO(X)$, the family of $sc$-open subsets of a topological space $X$. Using this operation, we define $sc$-$\gamma$-open sets, and study some of their related notions. Also, we introduce $sc$-$\gamma$-generalized closed sets and investigate their properties. Moreover, we introduce and study $sc$-$\gamma$-$T_i$ spaces ( $i \in \{0,\frac{1}{2}, 1, 2\}$) and $sc$- $(\gamma,\beta)$-continuous functions. Finally, some basic properties of functions with $sc$-$\beta$-closed graphs are obtained.

History

Received: 2018-02-11
Revised: 2018-03-14
Published: March 25, 2018

AMS Classification, Key Words

AMS Subject Classification: 54A05, 54A10, 54C05, 54C10, 54D10
Key Words and Phrases: $sc$-$\gamma$-open sets, $sc$-$\gamma$-$g$.closed sets, $sc$-$\gamma$-$T_i$ spaces ( $i \in \{0,\frac{1}{2}, 1, 2\}$), $sc$- $(\gamma,\beta)$-continuous functions, $sc$-$\beta$-closed graphs

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Bibliography

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2
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How to Cite?

DOI: 10.12732/ijpam.v118i2.26 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: 2018
Volume: 118
Issue: 2
Pages: 429 - 449


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