Slightly generalized β-continuous functions

2008

Abstract. In this paper, β-I-open sets are used to define and investigate a new class of functions called stongly β-I-continuous functions in ideal topological spaces. AMS subject classifications: 54C08 Key words: ideal topological spaces, β-I-open sets, strongly β-I-continuous functions

Annals of the Alexandru Ioan Cuza University - Mathematics, 2011

β-continuity was introduced by Abd El-Monsef et al. and then it's weak forms are also studied. In this paper we continued our study on almost strongly-θ-βcontinuous functions introduced by Tahiliani and contra almost-β-continuous introduced by Baker.

In this paper, we investigate several properties of strongly θ-β-ℐ-continuous functions due to Ş. Yüksel, A. Açikgöz and E. Gürsel [Far East J. Math. Sci. (FJMS) 25, No. 1, 129–144 (2007; Zbl 1133.54317)].

Boletim da Sociedade Paranaense de Matemática, 2012

In this paper, some new classes of functions are introduce and study by making use of γ-semiopen sets and γ-semiclosed sets.

International Journal of Pure Mathematics

In 2014 Mubarki, Al-Rshudi, and Al- Juhani introduced and studied the notion of a set in general topology called β*-open set and investigated its fundamental properties and studied the relationships between β*-open set and other topological sets including β*-continuity in topological spaces. We introduce and investigate several properties and characterizations of a new class of functions between topological spaces called β*- open, β*- closed, β*- continuous and β*- irresolute functions in topological spaces. We also introduce slightly β*- continuous, totally β*- continuous and almost β*- continuous functions between topological spaces and establish several characterizations of these new forms of functions. Furthermore, we also introduce and investigate certain ramifications of contra continuous and allied functions, namely, contra β*- continuous, and almost contra β*-continuous functions along with their several properties, characterizations and natural relationships. Moreover, we i...

viXra, 2020

In this paper, we introduce and study upper and lower slightly $\delta$-$\beta$- continuous multifunctions in topological spaces and obtain some characterizations of these new continuous multifunctions.

Filomat, 2008

As a generalization of β-continuous functions, we introduce and study several properties of weakly β-continuous functions in bitopological spaces and we obtain its several characterizations .

The Bulletin of the Malaysian Mathematical Society Series 2

introduced the notion of rare continuity. In this paper, we introduce a new class of functions called rare α-continuous functions and investigate some of its fundamental properties. These functions are generalizations of both rare continuous and weak α-continuous functions .

bulletin-mif.unde.ro

In this paper, we investigate several properties of strongly theta-beta-Icontinuous functions due to Yuksel et. al. [5].

Anal. St. Univ. Al. I. Cuza, Iasi, s. Ia, Mat, 2003

In this paper, we introduce and study two new classes of functions by using the notions of β-open sets and β-closure operator called weakly β-open and weakly β-closed functions. The connections between these functions and other existing topological functions are studied.

The aim of this paper is to introduce and study the concepts of new class of maps namely β*-continuous functions and β*-irresolute functions and discuss its properties. Additionally we relate these functions with other functions in topological spaces.

Journal of Advances in Mathematics, 2013

In this paper a new class of function called contra-wgrα continuous function is introduced and its properties are studied. Further the notion of almost contra wgrα-continuous function is introduced.

Indagationes Mathematicae (Proceedings), 1968

Communicated by Prof. H. FREUDENTHAL at the rneeting of March 30, 1968)

2008

Abstract. In this paper, we introduce the concept of an operation γ on a family of β-open sets denoted by βO(X) in a topological space (X, τ). Using the operation γ on βO(X), we introduce the concept of β-γ-open sets, and investigate the related topological properties. We also introduce the notion of β-γ-Ti spaces (i = 0, 1/2, 1, 2) and study some topological properties on them. Further, we introduce β-(γ, b)-continuous maps and investigate basic properties. Finally, we investigate a general operation approach to β-closed graphs of mappings.