On upper and lower ω-irresolute multifunctions
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C. Carpintero
carpintero.carlos@gmail.com
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E. Rosas
ennisrafael@gmail.com
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N. Rajesh
nrajesh_topology@yahoo.co.in
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S. Saranyasri
srisaranya_2010@yahoo.com
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DOI:
https://doi.org/10.4067/S0719-06462014000300001Abstract
In this paper we define upper (lower) ω-irresolute multifunction and obtain some characterizations and some basic properties of such a multifunction.
Keywords
[1] K. Al-Zoubi and B. Al-Nashef, The topology of ω-open subsets, Al-Manarah (9) (2003), 169- 179.
[2] A. Al-omari ans M. S. M. Noorani, Contra-ω-continuous and almost ω-continuous functions, Int. J. Math. Math. Sci. (9) (2007), 169-179.
[3] T. Banzaru, Multifunctions and M-product spaces, Bull. Stin. Tech. Inst. Politech. Timisoara, Ser. Mat. Fiz. Mer. Teor. Apl., 17(31)(1972), 17-23.
[4] C. Carpintero, N. Rajesh, E. Rosas and S. Saranyasri, Some properties of upper/lower ω- continuous multifunctions (submitted).
[5] C. Carpintero, N.Rajesh, E.Rosas and S. Saranyasri, On upper and lower faintly ω-continuous multifunctions (submitted).
[6] C. Carpintero, N. Rajesh, E. Rosas and S. Saranyasri, On Slightly omega-continuous multi- functions, to appear in Punjab University Journal of Mathematics (2014).
[7] C. Carpintero, N. Rajesh, E. Rosas and S. Saranyasri, Properties of Faintly ω-continuous functions, Boletín de Matemáticas, 20(2) (2014). 135-143.
[8] I. Kovacevic, Subsets and paracompactness, Univ. u. Novom Sadu, Zb. Rad. Prirod. Mat. Fac. Ser. Mat., 14(1984), 79-87.
[9] H. Z. Hdeib, ω-closed mappings, Revista Colombiana Mat., 16(1982), 65-78.
[10] T. Noiri, A. Al-omari and M. S. M. Noorani, Slightly ω-continuous functions, Fasc. Math., (41) (2009), 97-106.
[11] T. Noiri and V. Popa, Almost weakly continuous multifunctions, Demonstratio Math., 26 (1993), 363-380.
[12] T. Noiri and V. Popa, A unified theory of almost continuity for multifunctions, Sci. Stud. Res. Ser. Math. Inform., 20(1) (2010),185-214.
[13] T. Noiri and V. Popa, A unified theory of weak continuity for multifunctions, Stud. Cerc. St Ser. Mat. Univ. Bacau, 16 (2006),167-200.
[14] G. T. Whyburn, Retracting multifunctions, Proc. Nat. Acad. Sci., 59(1968), 343-348.
[15] I. Zorlutuna, ω-continuous multifunctions, Filomat, 27(1) (2013), 155-162.
[2] A. Al-omari ans M. S. M. Noorani, Contra-ω-continuous and almost ω-continuous functions, Int. J. Math. Math. Sci. (9) (2007), 169-179.
[3] T. Banzaru, Multifunctions and M-product spaces, Bull. Stin. Tech. Inst. Politech. Timisoara, Ser. Mat. Fiz. Mer. Teor. Apl., 17(31)(1972), 17-23.
[4] C. Carpintero, N. Rajesh, E. Rosas and S. Saranyasri, Some properties of upper/lower ω- continuous multifunctions (submitted).
[5] C. Carpintero, N.Rajesh, E.Rosas and S. Saranyasri, On upper and lower faintly ω-continuous multifunctions (submitted).
[6] C. Carpintero, N. Rajesh, E. Rosas and S. Saranyasri, On Slightly omega-continuous multi- functions, to appear in Punjab University Journal of Mathematics (2014).
[7] C. Carpintero, N. Rajesh, E. Rosas and S. Saranyasri, Properties of Faintly ω-continuous functions, Boletín de Matemáticas, 20(2) (2014). 135-143.
[8] I. Kovacevic, Subsets and paracompactness, Univ. u. Novom Sadu, Zb. Rad. Prirod. Mat. Fac. Ser. Mat., 14(1984), 79-87.
[9] H. Z. Hdeib, ω-closed mappings, Revista Colombiana Mat., 16(1982), 65-78.
[10] T. Noiri, A. Al-omari and M. S. M. Noorani, Slightly ω-continuous functions, Fasc. Math., (41) (2009), 97-106.
[11] T. Noiri and V. Popa, Almost weakly continuous multifunctions, Demonstratio Math., 26 (1993), 363-380.
[12] T. Noiri and V. Popa, A unified theory of almost continuity for multifunctions, Sci. Stud. Res. Ser. Math. Inform., 20(1) (2010),185-214.
[13] T. Noiri and V. Popa, A unified theory of weak continuity for multifunctions, Stud. Cerc. St Ser. Mat. Univ. Bacau, 16 (2006),167-200.
[14] G. T. Whyburn, Retracting multifunctions, Proc. Nat. Acad. Sci., 59(1968), 343-348.
[15] I. Zorlutuna, ω-continuous multifunctions, Filomat, 27(1) (2013), 155-162.
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Published
2014-10-01
How to Cite
[1]
C. Carpintero, E. Rosas, N. Rajesh, and . S. Saranyasri, “On upper and lower ω-irresolute multifunctions”, CUBO, vol. 16, no. 3, pp. 01–10, Oct. 2014.
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