On Weakly m-semi-I-Open Sets in Minimal Spaces

R. Mariappan¹ , M. Murugalingam²

1. Department of Mathematics, Dr. Mahalingam College of Engineering and Technology, Pollachi, India.
2. Department of Mathematics, Sri Sarada College for Women, Tirunelveli, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.69-72, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i3.6972

Online published on Jun 30, 2018

Copyright © R. Mariappan, M. Murugalingam . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

580 Views    337 Downloads    169 Downloads

Abstract :
In this paper, we introduce and study the notions of weakly m-semi-I-open sets and weakly m-semi-I-continuity, and their related notions in ideal minimal spaces. Also we investigate the decomposition of weakly m-semi-I-open set. 2000 Mathematics Subject Classification: 54D10

Key-Words / Index Term :
Ideal minimal space, m-semi-I-open sets, m-semi-I-closed sets, m-semi-I-continuity

References :
[1] Boonpok C, “Almost and weakly M -continuous functions in m-spaces”, East J. Math Sci, Vol.43, pp.41-58, 2010.
[2] S. Jafari, N. Rajesh and R. Saranya, “Semiopen sets in Ideal mimimal spaces”, Vasile Alecsandri University of Bacau Faculty of Sciences Scientific Studies and Research Series Mathematics and Informatics, Vol.27, Issue.1, pp.33-48, 2017, .
[3] D. Jankovic and T.R. Hamlett, “New topologies from old via ideals”, American Math.Monthly, Vol.97, pp.295-310, 1990.
[4] Maki. H, K.C. rao and A. Nagoor, “On generalizing semi-open and preopen sets”, Pure Appl. Math. Sc., Vol.42, pp.13-21, 1993.
[5] W. K. Min, “m-Semiopen sets and M-Semicontinuous functions on Spaces with minimal structures”, Honam Math. J., Vol.31, Issue.2, pp.239-245, 2009.
[6] W. K. Min, Kim Y. K, “m-preopen sets and M -precontinuous functions on Spaces with minimal structures”, Advances in Fuzzy Sets and Systems, Vol.4, Issue.3, pp.237-245, 2009.
[7] W. K. Min, “αm-open sets and αM-continuous functions”, Commun. Korean Math. Soc., Vol.25, Issue.2, pp.251-256, 2010.
[8] O.B. Ozbakir and E.E. Yildirim, “On some closed sets in ideal minimal spaces”, Acta Math. Hungar., Vol.125, Issue.3, pp.227-235, 2009.
[9] V. Popa and T.Noiri, “On the definition of some generalized forms of continuity under minimal condition”, Mem. Fac. Sci. Kochi. Uni. Ser. Math., Vol.22, pp.9-19,2001.
[10] V. Popa and T.Noiri, “On M-continuous functions”, Anal Uni. "Durarea de Jos", Galati,Ser. Mat. Fis. Me. Teor., Vol.18, Issue.23, No.2, pp.31-41, 2000.
[11] Takashi Noiri and Veleriu Popa, “On Iterate Minimal Structures and m-Iterate Continuous Functions”, Fasciculi Mathematici, Vol.50, pp.109-118, 2013.