Some (Lambda,b)-type mappings in topological spaces

Abstract

We introduce and study (Lambda, b)-continuous, (Lambda, b)-irresolute and quasi-(Lambda, b)-irresolute mappings. Some characterizations and several properties concerning aforesaid mappings are obtained. The authors also introduce (Lambda, b)-compactness and (\Lambda, b)-connectedness. It is proved that (Lambda, b)-compactness (respectively (\Lambda, b)-connectedness) is preserved under (\Lambda, b)-irresolute mappings. The paper also touches the topics frontier points, Dirichlet's function, filter and algebraic structure of some functions.

Role Of ψ-Operator in the Study of Minimal Open Sets

“…We shall consider the following four results which will help us for discussing the image of members of . Although these four results have been considered in [19], but their proofs have been made with the help of filters. Here we shall prove these results with the help of ideals.…”