Abstract

In this paper, we introduce the notions of $b$-$\gamma$-continuous, $b$-$\gamma$-irresolute, $b$-$\gamma$-open, $bs$-$\gamma$-open and $sb$-$\gamma$-open mappings in topological spaces. With this notions, we also introduce $b$-$\gamma$-compact, $b$-$\gamma$-connected and $b$-$\gamma$-Lindel$\ddot{o}$ff spaces Also we investigate some fundamental properties. Finally, we discuss the relationship among these mappings.

Keywords and Phrases

$bs$-$\gamma$-open mappings, $sb$-$\gamma$-open mappings, $b$ - $\gamma$ - continuous, $b$-$\gamma$-irresolute, $b$-$\gamma$-open mappings.

A.M.S. subject classification

54A05, 54C05, 54C10.

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