On Contra hc-Continuous Functions

In this paper, by means of hс−pensets, we introducеand investigate certain ramifications of сontra−сontinuousand allied functions, namely, сontrahс−сontinuous, perfectly сontrahс−unctions,сontrahс−openfunctions andсontrahс−сlosedfunctions. along with theirseveral properties, characterizations and mutual relationships. Further, we introduce new type of graphs, called сontrahс−сlosedgraphs via hс−opensets. The relationship between these graphs and contrahс−continuousunctionsarestudied.