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Keywords:
mildly $(1,2)^*$-normal space; $(1,2)^*$-${\rm rg}$-closed set; $(1,2)^*$-${\rm rg}$-continuous function; almost $(1,2)^*$-continuous function; almost $(1,2)^*$-${\rm rg}$-closed function
mildly $(1,2)^*$-normal space; $(1,2)^*$-${\rm rg}$-closed set; $(1,2)^*$-${\rm rg}$-continuous function; almost $(1,2)^*$-continuous function; almost $(1,2)^*$-${\rm rg}$-closed function
Summary:
The aim of the paper is to introduce and study a new class of spaces called mildly $(1,2)^*$-normal spaces and a new class of functions called $(1,2)^*$-$\mathop{\rm rg}$-continuous, $(1,2)^*$-${\rm R}$-map, almost $(1,2)^*$-continuous function and almost $(1,2)^*$-${\rm rg}$-closed function in bitopological spaces. Subsequently, the relationships between mildly $(1,2)^*$-normal spaces and the new bitopological functions are investigated. Moreover, we obtain characterizations of mildly $(1,2)^*$-normal spaces, properties of the new bitopological functions and preservation theorems for mildly $(1,2)^*$-normal spaces in bitopological spaces.
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