A Note on Some Generalizations of Continuity in Topological Spaces

The aim of this paper is to study some generalized continuities in topological spaces. Basic characterizations and properties concerning contra continuity, semi-continuity, precontinuity, α-continuity, A-continuity, LC-continuity, almost continuity, and weakly continuity are obtained. The relationships between generalized continuities are discussed and several counterexamples are provided to illustrate the connection of these generalized continuities.