Weakly b-open functions in bitopological spaces
DOI:
https://doi.org/10.5269/bspm.v35i2.28366Abstract
The aim of this paper is to introduce the notion of weakly b-open functions in bitopological spaces. Some properties of this functions are established and the relationships with some other types of spaces are also investigated.
References
1. T. Al-Hawary and A. Al-Omari, b-open and b-continuity in Bitopological Spaces, Al-Manarah, 13(3)(2007), 89-101.
2. D. Andrijevic, On b-open sets, Mat. Vesnik,48(1996), 59-64.
3. G. K. Banerjee, On pairwise almost strongly -continuous mappings, Bull. Cal. Math. Soc., 79(1987), 314-320.
4. S. Bose and D. Sinha, Almost open, almost closed, -continuous and almost compact mappings in bitopological spaces, Bull. Cal. Math. Soc., 73(1981), 345-354.
5. S. Bose and D. Sinha, Pairwise almost continuous map and weakly continuous map in bitopological spaces, Bull. Cal. Math. Soc., 74(1982), 195-206.
6. M. Jelic, A decomposition of pairwise continuity, J. Inst. Math. Comput. Sci. Math. Ser., 3(1990), 25-29.
7. M. Jelic, Feebly p-continuous mappings, Suppl. Rend. Circ. Mat. Palermo, 24(2)(1990), 387-395.
8. C. G. Kariofillies, On pairwise almost compactness, Ann. Soc. Sci. Bruxelles, 100(1986), 129-137.
9. J.C. Kelly, Bitopological spaces, Proc. London Math. Soc.,3(13)(1963), 71-89.
10. N. Levine, Strong continuity in topological spaces, Amer. Math. Monthly, 67(1960), 269.
11. T. Noiri, A. Al-Omari and M. S. M. Noorani, Weakly b-open functions, Mathematica Balkanica, 23(1-2)(2009), 1-13.
12. T. Noiri and V. Popa, Some properties of weakly open functions in bitopological spaces, Novi Sad J. Math., 36(1)(2006), 47-54.
13. W. J. Pervine, Connectedness in bitopological spaces, Indag. Math., 29 (1967), 369-372.
14. M.S. Sarsak and N. Rajesh, Special Functions on Bitopological Spaces, Internat. Math. Forum, 4(36)(2009), 1775-1782.
15. B. C. Tripathy and D. J. Sarma, On weakly b-continuous functions in bitopological spaces, Acta. Sci. Tech., 35(3)(2013), 521-525.
16. B. C. Tripathy and S. Acharjee, On ( ,)-Bitopological semi-closed set via topological ideal, Proyecciones J. Math., 33(3)(2014), 245-257.
2. D. Andrijevic, On b-open sets, Mat. Vesnik,48(1996), 59-64.
3. G. K. Banerjee, On pairwise almost strongly -continuous mappings, Bull. Cal. Math. Soc., 79(1987), 314-320.
4. S. Bose and D. Sinha, Almost open, almost closed, -continuous and almost compact mappings in bitopological spaces, Bull. Cal. Math. Soc., 73(1981), 345-354.
5. S. Bose and D. Sinha, Pairwise almost continuous map and weakly continuous map in bitopological spaces, Bull. Cal. Math. Soc., 74(1982), 195-206.
6. M. Jelic, A decomposition of pairwise continuity, J. Inst. Math. Comput. Sci. Math. Ser., 3(1990), 25-29.
7. M. Jelic, Feebly p-continuous mappings, Suppl. Rend. Circ. Mat. Palermo, 24(2)(1990), 387-395.
8. C. G. Kariofillies, On pairwise almost compactness, Ann. Soc. Sci. Bruxelles, 100(1986), 129-137.
9. J.C. Kelly, Bitopological spaces, Proc. London Math. Soc.,3(13)(1963), 71-89.
10. N. Levine, Strong continuity in topological spaces, Amer. Math. Monthly, 67(1960), 269.
11. T. Noiri, A. Al-Omari and M. S. M. Noorani, Weakly b-open functions, Mathematica Balkanica, 23(1-2)(2009), 1-13.
12. T. Noiri and V. Popa, Some properties of weakly open functions in bitopological spaces, Novi Sad J. Math., 36(1)(2006), 47-54.
13. W. J. Pervine, Connectedness in bitopological spaces, Indag. Math., 29 (1967), 369-372.
14. M.S. Sarsak and N. Rajesh, Special Functions on Bitopological Spaces, Internat. Math. Forum, 4(36)(2009), 1775-1782.
15. B. C. Tripathy and D. J. Sarma, On weakly b-continuous functions in bitopological spaces, Acta. Sci. Tech., 35(3)(2013), 521-525.
16. B. C. Tripathy and S. Acharjee, On ( ,)-Bitopological semi-closed set via topological ideal, Proyecciones J. Math., 33(3)(2014), 245-257.
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2016-03-20
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