On generalized \(\alpha\) regular-interior and generalized \(\alpha\) regular-closure in topological spaces
Downloads
DOI:
https://doi.org/10.26637/mjm501/011Abstract
In this paper, the authors introduce a new class of generalized \(\alpha\) regular-interior and generalized \(\alpha\) regular-closure in topological spaces. Some characterizations and several properties concerning generalized \(\alpha\) regular-interior and generalized \(\alpha\) regular-closure are obtained.
Keywords:
gαr-closed sets, gαr-closed map, gαr-continuous map, contra gαr-continuityMathematics Subject Classification:
54C05, 54C08, 54C10- Pages: 115-121
- Date Published: 01-01-2017
- Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)
Ahmad Al - Omari and Mohd. Salmi Md. Noorani, On Generalized b - closed sets, Bull. Malays. Math. Sci. Soc(2), 32(1)(2009), 19-30.
A. Al-Omari and AMd. Noorani, Some properties of contra b-continuous and almost contra b-continuous functions, European J. of Pure and App.Math., 2 (2009), 213-230.
D. Andrijevic, $b$ - open sets, Mat. Vesink, 48 (1996), 59-64. DOI: https://doi.org/10.1080/00332747.1996.11024750
Arockiarani, K. Balachandran and M. Ganster, Regular generalized continuous maps in topological spaces, Kyngbook Math. J., 37 (1997), 305-314.
S.D. Arya and R. Gupta, On strongly continuous mappings, Kyungpook Math.J. 14 (1974), 131-143.
K. Balachandran, P. Sundraram and H. Maki, On generalized continuous maps in topological spaces, Memoirs of the Faculty of Science Kochi University Series A., 12 (1991), 5-13.
P. Bhattacharya and B.K. Lahiri, Semi - generalized closed sets on topology, Indian J. Maths, 29, 3 (1987), 375-382.
Y. Gnanambal, On generalized pre-regular closed sets in topological spaces, Indian J.Pure Appl, Math., 28 (1997), 351-360.
D. Iyappan and N. Nagaveni, On semi generalized b - closed set, Nat. Sem. On Mat & Comp.Sci, Jan (2010), Proc.6.
N. Levine, Generalized closed sets in topology, Tend Circ., Mat. Palermo, 2(19) (1970), 89-96. DOI: https://doi.org/10.1007/BF02843888
H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized-closed sets and -generalized closed sets, Mem. Fac. Sci. Kochi. Univ. Ser. A.Math., 15 (1994), 51-63.
H. Maki, R. Devi and K. Balachandran, Generalized-closed sets in topology, Bull. Fukuoka Univ. Ed. Part III, 42 (1993), 13-21.
K. Mariappa and S. Sekar, On regular generalized b-closed set, Int. Journal of Math. Analysis, 7 (13)(2013), 613624. DOI: https://doi.org/10.12988/ijma.2013.13059
N. Nagaveni, Studies on generalized on homeomorphisms in topological spaces, Ph.D Thesis, Bharathiar University, Coimbatore, 1999.
N. Palaniappan and K. Chandrasekar Rao, rg closed sets, Kyungpook Math. J., 33 (1993), $211-219$.
M. Sheik john, On w-closed sets in topology, Acta Ciencia Indica, 4 (2000), 389-392.
S. Sekar and G. Kumar, On g $alpha r$ - closed set in Topological Spaces, International Journal of Pure and Applied Mathematics, 108 (4) (2016), 791-800. DOI: https://doi.org/10.12732/ijpam.v108i4.5
S. Sekar and K. Mariappa, Almost contra regular generalized b- continuous functions, International Journal of Pure and Applied Mathematics, 97 (2) (2014). DOI: https://doi.org/10.12732/ijpam.v97i2.4
L. Vinayagamoorthi and N. Nagaveni, On Generalized - b closed sets, Proceeding ICMD-Allahabad, Puspha Publication, 1(2010-11).
M.K.R.S. Veerakumar, Between closed sets and g-closed sets, Mem. Fac. Sci. Kochi. Univ. Ser.A, Math, 21 $(2000), 1-19$.
- NA
Similar Articles
- Amar Kumar Banerjee, Rahul Mondal , A Note on connectedness in a bispace , Malaya Journal of Matematik: Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2017 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
