In this paper, another generalized class of τ called mildly g-ωclosed sets is introduced and the notion of mildly g-ω-open sets in topological spaces is introduced and studied. The relationships of mildly g-ω-closed sets with various other sets are investigated.

In this paper, another generalized class of τ⋆ called mildly Igω-closed sets is introduced and the notion of mildly Ig-ω-open sets in ideal topological spaces is introduced and studied. The relationships of mildly Igω-closed sets with various other sets are investigated.

Several specific types of generalized sets (briefly, g-T_g-sets in topological spaces T_g-spaces have been defined and investigated for various purposes from time to the literature T_g-spaces. Our recent research field a new class is reported herein as starting point more classes. It shown that superclass those whose elements are called open, closed, semi-open, semi-closed, pre-open, pre-closed...

In this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.

In 2008, E. Ekici [13] introduced a new class of generalized open sets in a topological space called e-open sets. M. Ozkoc and G Aslim [26], in their recent paper (Bull. Korean Math. Soc. 47 (2010), No. 5, pp. 10251036), initiated two strong forms of e-open sets for the study of stronglyθ-e-continuous functions. J. Dontchev [8] introduced the notion of contra continuous functions. In this paper...

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.

This paper is a survey on SPG-reguli, SPG-systems, BLT-sets and sets with the BLT-property. It is shown how from these sets generalized quadrangles, partial geometries and semi-partial geometries can be constructed. Many examples are given and open problems are stated. There are also some new results. c © 2007 Elsevier B.V. All rights reserved.

and Applied Analysis 3 Definition 1.4 see 18, 20–23 . 1 The intersection of all fuzzy α-closed resp., semiclosed, preclosed, γ-closed, semi-preclosed, β-closed sets containing a fuzzy set A is called a fuzzy α-closure resp., semiclosure, preclosure, γ-closure, semi-preclosure, β-closure of A. 2 The union of all fuzzy α-open resp., semiopen, preopen, γ-open, semi-preopen, β-open sets contained i...