Generalized b-closed sets in ideal bitopological spaces
DOI:
https://doi.org/10.4067/S0716-09172014000300006Keywords:
Bitopological spaces, (i, j) − Igb-closed sets, j) − Igb-open sets, j) − gb-closed sets, j) − gb-open sets, espacios bitopológicos, conjuntos (i, j) - Igb cerrados, j) - Igb abiertos, j) - gb cerrados.Abstract
In this articleweintroduce theconcept of generalized b-closed sets with respect to an ideal in bitopological spaces, which is the extension of the concepts of generalized b-closed sets.References
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[16] B. C. Tripathy, M. Sen and S. Nath : I-convergence in probabilistic n-normed space; Soft Comput., 16, 1021-1027, DOI 10.1007/s00500-011-0799-8, (2012).
[17] R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20, pp.51-61, (1945).
[2] T. Al-Hawary and A. Al-Omari, b-open and b-continuity in Bitopological Spaces, Al-Manarah, 13 (3), pp. 89-101, (2007).
[3] D. Andrijevic, On b-open sets, Mat. Vesnik,48, pp. 59-64, (1996).
[4] T. Fukutake, On generalized closed sets in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 35, pp. 19-28, (1985).
[5] D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97, pp. 295-310, (1985).
[6] J. C. Kelly, Bitopological spaces, Proc. London Math. Soc., 3 (13), pp. 71-89, (1963).
[7] K. Kuratowski, Topology, Academic Press, New York, (1966).
[8] M. S. Sarsak and N. Rajesh, Special Functions on Bitopological Spaces, Internat. Math. Forum, 4 (36), pp. 1775-1782, (2009).
[9] B. C. Tripathy and B. Hazarika : I-convergent sequence spaces associated with multiplier sequence spaces; Mathematical Inequalities and Applications; 11 (3), pp. 543-548, (2008).
[10] B. C. Tripathy and S. Mahanta : On I-acceleration convergence of sequences; Journal of the Franklin Institute, 347, pp. 591-598, (2010).
[11] B. C. Tripathy and G. C. Ray, On Mixed fuzzy topological spaces and countability, Soft Computing, 16(10), pp. 1691-1695, (2012).
[12] B. C. Tripathy and D. J. Sarma, On b-locally open sets in Bitopological spaces, Kyungpook Math. J., 51(4), pp. 429-433, (2011).
[13] B. C. Tripathy and D. J. Sarma, On pairwise b-locally open and pairwise b-locally closed functions in bitopological spaces, Tamkang Jour. Math., 43 (4) , pp. 533-539, (2012).
[14] B. C. Tripathy and D. J. Sarma, On weakly b-continuous functions in bitopological spaces, Acta Sci. Technol., 35 (3), pp. 521-525, (2013).
[15] B. C. Tripathy and D. J. Sarma, Generalized b-closed sets in bitopological spaces, (communicated).
[16] B. C. Tripathy, M. Sen and S. Nath : I-convergence in probabilistic n-normed space; Soft Comput., 16, 1021-1027, DOI 10.1007/s00500-011-0799-8, (2012).
[17] R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20, pp.51-61, (1945).
Published
2017-03-23
How to Cite
[1]
B. C. Tripathy and D. J. Sarma, “Generalized b-closed sets in ideal bitopological spaces”, Proyecciones (Antofagasta, On line), vol. 33, no. 3, pp. 315-324, Mar. 2017.
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