Continuity Via ΛI-Open Sets

Decompositions of Continuity via Ζ−open Sets

Al-Hawary [1] introduced and explored the class of ζ−open sets which is strictly weaker than open and proved that the collection of all ζ−open subsets of a space forms a topology that is finer than the original one. In this paper, we introduce what we call ζ−continuity and ζX−continuity and we give several characterizations and two decompositions of ζ−continuity. Finally, new decompositions of ...

Some separation axioms via modified θ-open sets

some separation axioms via modified θ-open sets

On Almost Continuity and Expansion of Open Sets

Further properties of the almost continuous function are given in this paper. The concept of semi-boundary of a set is introduced and is used to give a sufficient condition for continuity which involves almost continuity. Using expansion of open sets, it is shown that continuity can be decomposed with almost continuity as a factor.

On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...