### 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 language | English |
---|---|

Pages (from-to) | 33-47 |

Number of pages | 15 |

Journal | Missouri Journal of Mathematical Sciences |

Volume | 26 |

Issue number | 1 |

Publication status | Published - 2014 |

### Fingerprint

### 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

*Missouri Journal of Mathematical Sciences*,

*26*(1), 33-47.

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

Research output: Contribution to journal › Article

*Missouri Journal of Mathematical Sciences*, vol. 26, no. 1, pp. 33-47.

}

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

AN - SCOPUS:84939462422

VL - 26

SP - 33

EP - 47

JO - Missouri Journal of Mathematical Sciences

JF - Missouri Journal of Mathematical Sciences

SN - 0899-6180

IS - 1

ER -