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On almost e-I-continuous functions

AL-Omeri Wadei, Noiri Takashi

Demonstratio Mathematica

2021

Vol. 54, nr 1

168--177

This work is concerned with a new class of functions called almost e-I-continuous functions containing the class of almost e-continuous functions. This notion is stronger than almost δβI-continuous functions and is weaker than both almost e-continuous functions and e-I-continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.