Abstract
In 2017 S. Ghour and B. Irshedat defined the θω - closure operator as a new topological operator and introduced θω - open sets as a new class of sets and proved that this class of sets is strictly between the class of open sets and the class of θ - open sets. In this paper we introduce θω - continuous, θω - irresolute, θω - open, θω - closed, pre - θω - open, θω - pre closed, contra θω - continuous and almost contra θω - continuous mappings and investigate properties and characterizations of these new types of mappings in topological spaces.
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