On faintly \(b-\mathscr{I}\)-continuous multifunctions
Downloads
DOI:
https://doi.org/10.26637/MJM0803/0053Abstract
The aim of this paper is to introduce and study upper and lower faintly \(b-\mathscr{I}\)-continuous multifunctions as a generalization of upper and lower \(b-\mathscr{I}\)-continuous multifunctions, respectively.
Keywords:
Ideal topological spaces, \(b-\mathscr{I}\)-open sets , \(b-\mathscr{I}\)-open sets, \(b-\mathscr{I}\)-closed sets, faintly \(b-\mathscr{I}\)-continuous multifunctionsMathematics Subject Classification:
Mathematics- Pages: 1041-1044
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
M. Akadag, On $b-mathscr{I}$-open sets and $b-mathscr{I}$-continuous functions, Internat. J. Math. Math. Sci., (2007), 1-13.
C. Berge, EspacesTopologiques Functions Multivoques, Paris, Dunod 1959.
T. Banzaru, Multifunctions and $M$-product spaces, Bull. Stin. Tech. Inst. Politech. Timisoara, Ser. Mat. Fiz. Mer. Teor. Apl., 17(31)(1972), 17-23.
P. GomathiSundari, N. Rajesh and R. Muthu Vijayalakshmi, On upper and lower $b-mathscr{I}$-continuous multifunctions, Aryabhatta Journal of Mathematics & Informatics, 11 (1) (2019) 87-90.
D. Jankovic and T. R. Hamlett, New Toplogies From Old Via Ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
D. Jankovic and T. R. Hamlett, Compatible extension of ideals, Boll. U. M. I., 7(1992), 453-465.
K. Kuratowski, Topology, Academic Press, New York, 1966.
T. Noiri and V. Popa, Almost weakly continuous multifunctions, Demonstratio Math., 26(1993), 363-380.
T. Noiri and V. Popa, Slightly $m$-continuous multifunctions, Bulletin of the Institute of Mathematics Academia Sinica (New Series), 1(4)(2006), 485-505.
T. Noiri and V. Popa, A unified theory of almost continuity for multifunctions, Sci. Stud. Res. Ser. Math. Inform., $20(1)(2010), 185-214$.
T. Noiri and V. Popa, Almost weakly continuous multifunctions, Demonstraio Math., 26(1993), 363-380.
V. Popa, A note on weakly and almost continuous multifunctions, Univ, u NovomSadu, Zb. Rad. Prirod-Mat. Fak. Ser. Mat., 21(1991), 31-38.
V. Popa, Weakly continuous multifunction, Boll. Un. Mat. Ital., (5) 15-A(1978), 379-388.
S. Sinharoy and S. Bandyopadhyay, On $theta$-completely regular and locally $theta-H$-closed spaces, Bull. Cal. Math. Soc., 87(1995), 19-26.
N. V. Velicko, $H$-closed topological spaces, Amer. Math. Soc. Transl., 78(1968), 103-118.
R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20(1945), 51-61.
- NA
Similar Articles
- R. Muthuraj, V. V. Vijesh, S. Sujith , Complementation and anti-complementation in intuitionistic anti-fuzzy graphs , Malaya Journal of Matematik: Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)
- M. Noushad Rahim, K.P. Mohamed Basheer, A survey on anti-phishing techniques: From conventional methods to machine learning , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
- Leila Ben Aoua, Abdelkrim Aliouche, Common fixed point theorems in intuitionistic menger spaces using CLR property , Malaya Journal of Matematik: Vol. 3 No. 04 (2015): Malaya Journal of Matematik (MJM)
- J. Mahalakshmi, M. Sudha, Smarandache fuzzy semiring minimal-c-regular spaces , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
- N. Anitha, V. Lambodharan, Interval valued anti-fuzzy soft subhemiring of a hemiring , Malaya Journal of Matematik: Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)
- K. Ajitha Kumari, Syntactic semiring of l-fuzzy languages , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
- P. K. Sharma, Kanchan, On intuitionistic L-fuzzy primary and P-primary submodules , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
- V. Inthumathi, M. Pavithra, On vague $\alpha$ -soft continuous functions , Malaya Journal of Matematik: Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
- D. Rajan, A. Beulah, A type of Lusin’s theorem for regular monotone auto continuous measure space , Malaya Journal of Matematik: Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)
- M. Arunkumar, E. Sathya, S. Karthikeyan, G. Ganapathy, T. Namachivayam, Stability of system of additive functional equations in various Banach spaces: Classical Hyers methods , Malaya Journal of Matematik: Vol. 6 No. 01 (2018): 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) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.