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In this paper, a new kind of set called an αγ-open set is introduced and investigated using the γ-operator due to Ogata. Such sets are used for studying new types of mappings, viz. αγ-continuous, α(γ,β)-irresolute, etc. Finally, new separation axioms: αγ-Ti (i = 0, ½, 1, 2), αγ-Di (i = 0, 1, 2), and a new notion of the graph of a function called an αγ-closed graph.  <br /

acta scientiarum. technology/acta scientiarum. technology

&lt;b&gt;α&lt;sup&gt;γ&lt;/sup&gt;-open sets, α&lt;sup&gt;γ&lt;/sup&gt;-functions and some new separation axioms&lt;/b&gt; - doi: 10.4025/actascitechnol.v35i4.15728