Quasi a Local Functions In Ideal Bitopological Spaces

2014

In this paper we introduce and study the concepts of (i,j)-I- continuous, (i,j)-I- open and (i,j)-I- closed functions in Ideal Bitopological Spaces.

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.

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.

Baghdad Science Journal, 2020

This work, introduces some concepts in bitopological spaces, which are nm-j-ω-converges to a subset, nm-j-ω-directed toward a set, nm-j-ω-closed mappings, nm-j-ω-rigid set, and nm-j-ω-continuous mappings. The mainline idea in this paper is nm-j-ω-perfect mappings in bitopological spaces such that n = 1,2 and m =1,2 n ≠ m. Characterizations concerning these concepts and several theorems are studied, where j =  , δ,  , pre, b, .

2012

Since the notion of generalized closed set in topological spaces have appeared, many topologists have started looking for more general ones and the goal was to find new decompositions of continuity. In this paper, the relatively new notion of quasi-b-open sets is introduced and investigated. Hence, the notion of quasi-b-continuity between bitopological spaces is defined and a decomposition is provided. Moreover, we investigate a group of quasi-bhomeomorphisms and define several new bitopological spaces.

European Journal of Mathematics, 2020

The paper deals with upper and lower quasi-continuity of multifunctions defined on a bitopological space. The main objective is to determine the conditions under which a multifunction is semi-continuous on a residual set.

2018

The aim of this paper is to introduced and characterized the concepts of α-open sets and their related notions in ideal bitopological spaces.

Journal of Advanced Studies in Topology, 2015

In this paper we introduced two new classes of sets in bitopological spaces, the first type is weaker than ij-Ωclosed sets namely, ij-Ω *-closed sets, and the second type called ij-Ω * *-closed sets which lies between the class of ij-Ω-closed sets and the class of ij-g-closed sets. We find some basic properties and applications of these sets. We also, introduce new bitopological separation axioms and new type of continuous functions between bitopological spaces. Finally, we prove that some of the introduced bitopological separation properties are preserved under some types of continuous functions.

2008

The aim of this paper is to introduce and study the concept of almost nearly continuous multifunction in bitopoogical spaces namely ultra multifunction in view of (1,2)α-open sets introduced in [4]. Basic characterization and several properties of both ultra upper and ultra lower almost nearly multifunction are defined and established. * AMS Subject Classifications : 54D05

viXra, 2020

In this paper, we introduce and study the concept of qI-open set. Based on this new concept, we define new classes of functions, namely qI-continuous functions, qI-open functions and qIclosed functions, for which we prove characterization theorems.

2013

In this paper we introduce and characterize the concepts of β-open sets and their related notions in ideal bitopological spaces. 2010 Mathematics Subject Classifications: 54D10

viXra, 2020

The aim of this paper is to introduced and characterized the concepts of semiopen sets and their related notions in ideal bitopological spaces. 2000 Mathematics Subject Classification. 54D10.

Kyungpook Mathematical Journal

In this article we introduce the notion of b-locally open sets, bLO * sets, bLO ** sets in bitopological spaces and obtain several characterizations and some properties of these sets.

We continue the study of bitopological separation axioms that was begun by Kelly and obtain some results. Furthermore, we introduce a concept of pairwise Lindelöf bitopological spaces, namely, p 2 -Lindelöf spaces, and their properties are established. We also show that p 2 -Lindelöf is not a hereditary property. Finally, we show that p 2 -Lindelöf is a p 2 -topological property.