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On almost e-I-continuous functions

100%

AL-Omeri W. , Noiri T.

tom 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.

On e-I-open sets, e-I-continuous functions and decomposition of continuity

67%

Al-Omeri W. , Noorani M. S. M. , Al-Omari A.

Journal of Mathematics and Applications

2015

tom Vol. 38

15--31

In this paper, we introduce the notations of e-I-open sets and strong B*I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B*I -set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.