New forms of contra-continuity in ideal topology spaces

Wadei Al-Omeri, Mohd. Salmi Md. Noorani, Ahmad Al-Omari

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we apply the notion of e-I-open [2] sets in ideal topological spaces to present and study new classes of function called contra e-I-continuous functions, almost-e-I-continuous, almost contra-e-I-continuous and almost weakly-e-I-continuous along with their several properties, characterizations and mutual relationships. Relationships between there new classes and other classes of functions are established and some characterizations of there new classes of functions are studied. Further, we introduce new types of graphs, called e-I-closed, contra-e-I-closed and strongly contra-e-I-closed graphs via e-I-open sets. Several characterizations and properties of such notions are investigated.

Original languageEnglish
Pages (from-to)33-47
Number of pages15
JournalMissouri Journal of Mathematical Sciences
Volume26
Issue number1
Publication statusPublished - 2014

Fingerprint

Topology
Closed
Graph in graph theory
Open set
Topological space
Continuous Function
Form
Class
Relationships

Keywords

  • Contra almost contra-e-I-continuous sets
  • Contra e-I-continuous functions
  • Contra-e-I-closed
  • Contra-e-I-closed
  • e-I-closed
  • e-I-open sets
  • Ideal topological space
  • Weakly-e-I-continuous

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

New forms of contra-continuity in ideal topology spaces. / Al-Omeri, Wadei; Md. Noorani, Mohd. Salmi; Al-Omari, Ahmad.

In: Missouri Journal of Mathematical Sciences, Vol. 26, No. 1, 2014, p. 33-47.

Research output: Contribution to journalArticle

@article{3246218bb107466b8473c5f358ad740c,
title = "New forms of contra-continuity in ideal topology spaces",
abstract = "In this paper, we apply the notion of e-I-open [2] sets in ideal topological spaces to present and study new classes of function called contra e-I-continuous functions, almost-e-I-continuous, almost contra-e-I-continuous and almost weakly-e-I-continuous along with their several properties, characterizations and mutual relationships. Relationships between there new classes and other classes of functions are established and some characterizations of there new classes of functions are studied. Further, we introduce new types of graphs, called e-I-closed, contra-e-I-closed and strongly contra-e-I-closed graphs via e-I-open sets. Several characterizations and properties of such notions are investigated.",
keywords = "Contra almost contra-e-I-continuous sets, Contra e-I-continuous functions, Contra-e-I-closed, Contra-e-I-closed, e-I-closed, e-I-open sets, Ideal topological space, Weakly-e-I-continuous",
author = "Wadei Al-Omeri and {Md. Noorani}, {Mohd. Salmi} and Ahmad Al-Omari",
year = "2014",
language = "English",
volume = "26",
pages = "33--47",
journal = "Missouri Journal of Mathematical Sciences",
issn = "0899-6180",
publisher = "Central Missouri State University",
number = "1",

}

TY - JOUR

T1 - New forms of contra-continuity in ideal topology spaces

AU - Al-Omeri, Wadei

AU - Md. Noorani, Mohd. Salmi

AU - Al-Omari, Ahmad

PY - 2014

Y1 - 2014

N2 - In this paper, we apply the notion of e-I-open [2] sets in ideal topological spaces to present and study new classes of function called contra e-I-continuous functions, almost-e-I-continuous, almost contra-e-I-continuous and almost weakly-e-I-continuous along with their several properties, characterizations and mutual relationships. Relationships between there new classes and other classes of functions are established and some characterizations of there new classes of functions are studied. Further, we introduce new types of graphs, called e-I-closed, contra-e-I-closed and strongly contra-e-I-closed graphs via e-I-open sets. Several characterizations and properties of such notions are investigated.

AB - In this paper, we apply the notion of e-I-open [2] sets in ideal topological spaces to present and study new classes of function called contra e-I-continuous functions, almost-e-I-continuous, almost contra-e-I-continuous and almost weakly-e-I-continuous along with their several properties, characterizations and mutual relationships. Relationships between there new classes and other classes of functions are established and some characterizations of there new classes of functions are studied. Further, we introduce new types of graphs, called e-I-closed, contra-e-I-closed and strongly contra-e-I-closed graphs via e-I-open sets. Several characterizations and properties of such notions are investigated.

KW - Contra almost contra-e-I-continuous sets

KW - Contra e-I-continuous functions

KW - Contra-e-I-closed

KW - Contra-e-I-closed

KW - e-I-closed

KW - e-I-open sets

KW - Ideal topological space

KW - Weakly-e-I-continuous

UR - http://www.scopus.com/inward/record.url?scp=84939462422&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84939462422&partnerID=8YFLogxK

M3 - Article

VL - 26

SP - 33

EP - 47

JO - Missouri Journal of Mathematical Sciences

JF - Missouri Journal of Mathematical Sciences

SN - 0899-6180

IS - 1

ER -