Strong Forms of Weakly e-continuous Functions

Burcu Sunbul AYHAN

doi:10.5269/bspm.68959

Burcu Sunbul AYHAN Turkish-German University https://orcid.org/0000-0001-8359-5609

Resumo

The main purpose of this study is to introduce and study two new classes of continuity called eRcontinuous functions and weakly eR-continuous functions via e-regular sets. Both of the forms of continuous functions we have described are stronger than the weakly e-continuity. Furthermore, we obtain various characterizations of weakly eR-continuous functions. In addition, we examine not only the relations of these functions with some other forms of existing continuous functions, but also some of their fundamental properties.

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