Quasi-continuity of multifunctions on bitopological spaces

International Journal of Science and Research (IJSR), 2015

In this paper we extend the concept of α-local function due to W. Al-omeri, Mohd. Salmi, Md. Noorani and A. Al-omari [1] to ideal bitopological spaces and study some of its properties. Further the concepts of qαI-open sets and qαI-continuous mappings are introduced and studied.

2016

Abstract. In this paper, we introduce and define a new class of sets, called Sı-open sets, in bitopological spaces. By using this set, we introduce and define the notion of Sı-continuity and investigate some of its properties. In particular, Sı-open sets and Sı-continuity are used to extend some known results of continuity.

Advances in Pure Mathematics, 2022

In this paper, our focus is to introduce and investigate a class of mappings called M-asymmetric irresolute multifunctions defined between bitopological structural sets satisfying certain minimal properties. M-asymmetric irresolute multifunctions are point-to-set mappings defined using M-asymmetric semiopen and semiclosed sets. Some relations between M-asymmetric semicontinuous multifunctions and M-asymmetric irresolute multifunctions are established. This notion of M-asymmetric irresolute multifunctions is analog to that of irresolute multifunctions in the general topological space and, upper and lower M-asymmetric irresolute multifunctions in minimal bitopological spaces, but mathematically behaves differently.

Acta Scientiarum. Technology, 2013

In this article we introduce the notion of weakly b-continuous functions in bitopological spaces as a generalization of b-continuous functions. We prove several properties of these functions. AMS Classification No : 54A10; 54C10; 54C08; 54D15.

International Journal of Mathematics and Mathematical Sciences, 1991

The aim of this paper is to define and study super-continuous mappings and some other forms of continuity such as strong continuity, perfect continuity and complete continuity in bitopological spaces and investigate the relations between these kinds of continuity and their effects on some kinds of spaces.

Journal of the Egyptian Mathematical Society, 2012

In this paper we introduce and investigate the notions of a new class of generalized semiclosed functions and a class of semi-generalized closed functions in bitopological spaces. We study the further properties of ij-generalized semi closed and ij-semi-generalized closed sets. Applying of these concepts of sets, we introduce and study two new spaces, namely pairwise generalized s-regular and pairwise s-normal spaces.

Journal of Advanced Studies in Topology, 2015

In this paper, the notions of pairwise δ I-semi-continuous functions and pairwise δ I-semi-irresolute functions are introduced and investigated in ideal bitopological spaces. Keywords: (i, j)-δ I-semi-open sets, (i, j)-δ I-semi-closed sets, pairwise δ I-semi-continuous functions, pairwise δ I-semi-irresolute functions. 2010 MSC: 54A05.

Tamkang Journal of Mathematics, 2012

In this paper, we introduce and define a new class of sets, called S ı-open sets, in bitopological spaces. By using this set, we introduce and define the notion of S ı-continuity and investigate some of its properties. In particular, S ı-open sets and S ıcontinuity are used to extend some known results of continuity.

Tamkang Journal of Mathematics, 2012

The aim of this paper is to introduce and study pairwise b-locally open and pairwise b-locally closed functions in bitopological spaces and some characterization and several properties concerning these concepts are investigated.

Boletim da Sociedade Paranaense de Matemática, 2017

The aim of this paper is to investigate some properties of almost bcontinuous function in a bitopological space. Relationships with some other types of functions are also investigated.