ON PRE - I - OPEN SETS , SEMI - I - OPEN SETS AND b - I - OPEN SETS IN IDEAL TOPOLOGICAL SPACES 1

Regular pre semi I totally continuous functions in Ideal Topological Spaces

The authors introduced rpsI-closed sets and rpsI-open sets in ideal topological spaces and established their relationships with some generalized sets in ideal topological spaces. The aim of this paper is to introduce rpsI-totally continuous, totally rpsI-continuous, strongly rpsI-continuous functions and characterize their basic properties.

Fuzzy $bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces

We introduce a new class of fuzzy open sets called fuzzy $bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $bigwedge_e$ sets termed as fuzzy locally $bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $bigwedge_e$ continuity and fuzzy locally $bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and f...

$gamma_{_mu}$-Lindel"{o}f generalized topological spaces

‎In this paper we have introduced new types of sets termed as $omega_{_{gamma_{_mu}}}$-open sets with the help of an operation and a generalized topology‎. ‎We have also defined a notion of $gamma_{_mu}$-Lindel"{o}f spaces and discussed some of its basic properties‎.  

On b-I-Open Sets and b-I-Continuous Functions

One of the important and basic topics in the theory of classical point set topology and several branches of mathematics, which have been researched by many authors, is continuity of functions. This concept has been extended to the setting of I-continuity of functions. Janković and Hamlett [1, 2] introduced the notion of I-open sets in topological spaces. Abd El-Monsef et al. [3] further investi...

On Pre-θ-Open Sets and Two Classes of Functions