IJPAM: Volume 113, No. 1 (2017)

Title

ON PRE GENERALIZED $b$-CLOSED
MAP IN TOPOLOGICAL SPACES

Authors

S. Sekar$^1$, R. Brindha$^2$
$^1$Department of Mathematics
Government Arts College (Autonomous)
Salem, 636 007, Tamil Nadu, INDIA
$^2$Department of Mathematics
King College of Technology
Namakkal, 637 020, Tamil Nadu, INDIA

Abstract

In this paper, we introduce a new class of pre generalized $b$-closed map in topological spaces (briefly $pgb$-closed map) and study some of their properties as well as inter relationship with other closed maps.

History

Received: November 11, 2016
Revised: January 7, 2017
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 54C05, 54C08, 54C10
Key Words and Phrases: $pgb$-closed set, $b$-closed map, $gb$-closed map, $rgb$-closed map and $gp*$-closed map

Download Section

Download paper from here.
You will need Adobe Acrobat reader. For more information and free download of the reader, see the Adobe Acrobat website.

Bibliography

1
Ahmad Al-Omari and Mohd. Salmi Md. Noorani, On Generalized $b$-Closed Sets. Bull. Malays. Math. Sci. Soc., (2)32(1)(2009), 19-30.

2
D.Andrijevic, Semi-pre open sets, Mat. Vesnik., 38(1)(1986), 24-32.

3
D.Andrijevic, On $b$-open sets, Mat. Vesink., 48(1-2)(1996), 59-64.

4
Y.Gnanambal, On generalized pre - regular closed sets in topological spaces, Indian J.Pure Appl, Math 28 (1997), 351-360.

5
D.Iyappan and N.Nagaveni, On semi generalized $b$ - closed set, Nat. Sem. OnMat & Comp.Sci, Jan (2010), Proc.6.

6
N.Levine, Generalized closed sets in topology, Tend Circ., Mat. Palermo (2) 19 (1970), 89-96.

7
N.Levine, Semi - open sets and semi - continuity in topological spaces, Amer. Math. Monthly 70 (1963)), 36-41.

8
H.Maki, R.Devi and K.Balachandran, Associated topologies of generalized $\alpha$ - closed sets and $\alpha$ - generalized closed sets, Mem. Fac. Sci. Kochi. Univ. Ser. A.Math. 15 (1994), 51-63.

9
H.Maki, R.J.Umehara and T.Noiri, Every topological space is pre - T 1/2 ,Mem. Fac. Sci. Kochi. Univ. Ser. A. Math. 17(1996), 33-42.

10
K.Mariappa and S.Sekar, On regular generalized $b$-closed set, Int. Journal of Math. Analysis, 7(13), (2013), 613–624.

11
A.S.Mashour, I.A.Hasanein and S.N.EI. Deep, $\alpha$ -continuous and $\alpha$ -open mapping, Acta.Math.Phys.Soc.Egypt51 (1981).

12
A.S.Mashor Abd., M.E. El - Monsef.M.E and S.N.EI. Deep, On Pre continuous and weak pre - continuous mapping, Proc.Math.,Phys.Soc.Egypt, 53 (1982), 47-53.

13
S.Sekar and R.Brindha, On pre generalized b- closed set in Topological Spaces, International Journal of Pure and Applied Mathematics, 111(4)(2016).

14
S.Sekar and K.Mariappa, On regular generalized b-Closed Map in Topological Spaces, International Journal of Mathematical Archive (IJMA), Vol.4, Issue 8, (2013), 111-116.

15
K.Mariappa and S.Sekar, On regular generalized b-continuous map in Topological Spaces, Kyungpook Mathematical Journal, Vol.54, Issue 3, (2014), 477-483.

16
O.Njastad, On some classes of nearly open sets, Pacific J Math., 15(1965),961-970.

17
J.H.Park, Y.B.Park and B.Y.Lee, On $gp$-closed sets and $gp$-continuous functions, Indian J. Pure Appl. Math., 33(1) (2002), 3-12.

18
L. Vinayagamoorthi and N. Nagaveni, On Generalized $\alpha b$-closed set, Proceeding ICMD-Allahabad, Pusbha Publication, 1 (2011).

How to Cite?

DOI: 10.12732/ijpam.v113i1.10 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 103 - 112


$b$-CLOSED MAP IN TOPOLOGICAL SPACES%22&as_occt=any&as_epq=&as_oq=&as_eq=&as_publication=&as_ylo=&as_yhi=&as_sdtAAP=1&as_sdtp=1" title="Click to search Google Scholar for this entry" rel="nofollow">Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).