On pre-\(\mathcal{I}_s\)-open sets and pre-\( \mathcal{I}_s\)-continuous functions
Downloads
DOI:
https://doi.org/10.26637/mjm203/019Abstract
We study the notion of pre-\(\mathcal{I}_s\)-open and pre-\(\mathcal{I}_s\)-continuous and obtain some properties. Then, we introduce and investigate pre-\(\mathcal{I}_s\)-open functions and pre-\(\mathcal{I}_s\)-closed functions. Also we obtain a decomposition of continuity via idealization.
Keywords:
pre-\(\mathcal{I}_s\)-open sets, pre-\( \mathcal{I}_s\)-continuous functionsMathematics Subject Classification:
54C05, 54C10- Pages: 315-321
- Date Published: 01-07-2014
- Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)
M. E. Abd El-Monsef, S. N. El-Deep and R. A. Mahmoud, β-open sets and β-continuous mappings, Bull. Fac. Sci. Assiut Univ., 12(1983), 77-90.
M.E. Abd El-Monsef, E.F. Lashien and A.A. Nasef, Some topological operators via ideals, Kyungpook Math. J., 32(2)(1992), 273-284.
J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, http://arxiv.org/abs/ Math. GN/9901017, 5 Jan. 1999(Internet).
E. Hatir and T.Noiri, On decompositions of continuity via idealization, Acta. Math. Hungar., 96(4)(2002), 341-349. DOI: https://doi.org/10.1023/A:1019760901169
E. Hatir and T. Noiri, On semi-I-open sets and semi-I-continuous functions, Acta. Math. Hungar., 107(4)(2005), 345-353. DOI: https://doi.org/10.1007/s10474-005-0202-2
D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310. DOI: https://doi.org/10.1080/00029890.1990.11995593
M. Khan and T. Noiri, Semi-local functions in ideal topological spaces, J. Adv. Res. Pure Math., 2(1)(2010), 36-42. DOI: https://doi.org/10.5373/jarpm.237.100909
M. Khan and T. Noiri, On gI-closed sets in ideal topological spaces, J. Adv. Stud. in Top., 1(2010), 29-33. DOI: https://doi.org/10.20454/jast.2010.202
K. Kuratowski, Topology, Vol. I, Academic press, New York, 1966.
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41. DOI: https://doi.org/10.1080/00029890.1963.11990039
A. S. Mashhour, M. E. Abd. El-Monsef and S. N. El-deeb, On pre-continuous and weak pre-continuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970. DOI: https://doi.org/10.2140/pjm.1965.15.961
R. Santhi and M. Rameshkumar, A decomposition of continuity in ideal by using semi-local functions, (Submitted).
R. Santhi and M. Rameshkumar, On α-I s -open sets and α-I s -continuous functions,(submitted).
R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company, 1960.
- NA
Similar Articles
- R. Irene Hepzibah, R.Vidhya, Modified new operations for triangular intuitionistic fuzzy numbers , Malaya Journal of Matematik: Vol. 2 No. 03 (2014): 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) 2014 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.