On a weaker form of ω-continuity

Journal of Advanced Studies in Topology, 2013

In [1], the authors introduced and studied the notion of almost ωcontinuity in topological spaces. In this paper, we investigate some more properties of this type of continuity.

Cubo (Temuco), 2017

In this paper, we apply the notion of ω-open sets due to Arhangel'skiȋ to present and study a new class of functions called almost ω-continuous functions. Relationships between this new class and other classes of functions are established. En este artículo, aplicamos la noción de ω-conjuntos abiertos dada por Arhangel'skiȋ [1] para presentar y estudiar una nueva clase de funciones llamadas funciones casi ωcontinuas. Establecemos relaciones entre esta nueva clase y otras clases de funciones.

https://www.scopus.com/record/display.uri?eid=2-s2.0-80051905338&origin=AuthorNamesList&txGid=56452185a8a99f86ab468bf87cb314c1, 2011

In this paper we use the weak ω-open sets defined by T. Noiri, A. Al-Omari, M. S. M. Noorani in [5], to define new weak types of continuity and compactness and prove some theorems about them.

The aim of this paper is to introduce and study a new type of weakly continuity called weakly ωe *-continuity via ωe *-open sets defined by us. We obtain several characterizations and some fundamental properties of weakly ωe *-continuous functions. The notion of weakly ωe *-continuity come across as a notion of weaker than the notion of weakly ωβ-continuity. Also, we investigate the relationships between weakly ωe *-continuous functions and other related strong and weak forms of weakly continuity. Furthermore, we introduce the concepts of ωe *-strongly closed graphs to look into some different properties. 2010 Mathematics Subject Classification. 54C05, 54C08. Key words and phrases. ωe *-open set, weakly ωe *-continuous function, ωe *-strongly closed.

International Journal of Mathematics and …

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of ω-open sets in topological space to present and study a new class of functions called almost contra ω-continuous functions as a new generalization of contra ...

On sub weakly w continuous functions, 2018

The purpose of this paper is to introduce a new class functions called, sub weakly ω-continuous functions. Also, we obtain its characterizations and its basic properties.

Acta Universitatis Sapientiae, Mathematica, 2017

Erdal Ekici has introduced and studied nearly continuous multifunctions in [

Acta Univ. Sapientiae, Mathematica, 10, 2 (2018) 242–248, 2018

The aim of this paper is to introduce and study upper and lower ω-continuous functions. Some characterizations and several properties concerning upper (resp. lower) ω-continuous functions are obtained.

The main purpose of this paper is to study ωe *-continuity via ωe *-open sets. We obtain several characterizations and some fundamental properties of ωe *continuous functions. Also, we introduce some new functions such as ωe *-irresolute functions, ωe *-open functions and ωe *-closed functions by means of ωe *-open sets. Moreover, we obtain that ωe *-open function is independent with ωe *-irresolute function and ωe *-continuous function. Furthermore, we give not only various properties and characterizations but also examples and counterexamples.

2009

Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences Volume 2009, Article ID 174042, 12 pages doi:10.1155/2009/174042 ... Weak and Strong Forms of ω-Continuous Functions ... Ahmad Al-Omari,1 Takashi Noiri,2 and Mohd. Salmi Md. ...