NEW RESULTS OF $bs$-$\gamma$-OPEN MAPPINGS AND $sb$-$\gamma$-OPEN MAPPINGS IN TOPOLOGICAL SPACES

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.