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Keywords:
$\mu $-open set; weakly $(\mu ,\lambda )$-closed function; contra $(\mu ,\lambda )$-open function; strongly $(\mu ,\lambda )$-continuous function
$\mu $-open set; weakly $(\mu ,\lambda )$-closed function; contra $(\mu ,\lambda )$-open function; strongly $(\mu ,\lambda )$-continuous function
Summary:
In this paper we introduce a new class of functions called weakly $(\mu ,\lambda )$-closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly $(\mu ,\lambda )$-closed functions enable us to facilitate the formulation of certain unified theories for different weaker forms of closed functions.
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