Almost (K, L)-continuous functions in ideal bitopological spaces
*Carlos CarpinteroCorresponding authorcarpintero.carlos@gmail.comFacultad de Ciencias Básicas Corporación Universitaria del Caribe CECARFaculty of Basic Sciences and Engineering Caribbean University Corporation-CECARSincelejo, 700009, Colombia0000-0003-3831-952XView full profile → , Neelamegarajan Rajeshnrajesh_topology@yahoo.co.inDepartment of Mathematics Rajah Serfoji Govt. CollegeThanjavur, Tamil Nadu, 613005, India0000-0003-0921-6054View full profile → , Ennis Rosasennisrafael@gmail.comDepartamento de Ciencias Naturales y Exactas Universidad de la CostaDepartment of Natural and Exact Sciences University of the CoastBarranquilla, 080001, Colombia0000-0001-8123-9344View full profile → , José Sanabriajesanabri@gmail.comDepartamento de Matemáticas Facultad de Educación y Ciencias Universidad de SucreDepartment of Mathematics Faculty of Education and Sciences University of SucreSincelejo, 700009, Colombia0000-0002-9749-4099View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 05 Dec 2023
- Published Online:
- 13 Aug 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2062
- Pages:
- 1813–1824
Abstract
Keywords
Subject Classifications
References
[1] J. C. Kelly, “Bitopological spaces,” Proc. London Math. Soc, vol. 13, pp. 71-89 (1963).
[2] H. A. Wasi and Y. Rajihy, “On various properties of (m,n)-semi compactness in bitopological spaces,” Journal of Interdisciplinary Mathematics, vol 24, no. 5, pp. 1119-1122 (2021).
[3] A. Al-Omari and T. Noiri, “On θ(I, J)-continuous functions,” Rend. Istit. Mat. Univ. Triestre, vol. 44, no. 1, pp. 399-411 (2012).
[4] S. A. Abd Al-Zhara and A. E. Abdulraouf, “On some types of somewhat continuous functions,” Journal of Interdisciplinary Mathematics, vol. 25, no. 4, pp. 1163-1170 (2022).
[5] A. E. Abdulraouf and S.A. Abd Al-Zhara, “On some kinds of continuous functions in ideal topological space,” Journal of Interdisciplinary Mathematics, vol. 25, no. 6, pp. 1885-1892 (2022).
[6] E. Rosas, C. Carpintero, N. Rajesh and J. Sanabria, “A note on (I, J)-continuous functions,” Boletim da Sociedade Paranaense de Matematica, vol. 43, pp 1-5 (2025).
[7] K. Kuratowski, Topology. New York: Academic Press (1966).
[8] R. Vaidyanathaswamy, “The localisation theory in set topology,” Proc. Indian Acad. Sci,. vol. 20, no. 1, pp. 51-61, July (1944).
[9] D. S. Jankovic and T. R. Hamlett, “New Topologies From Old via Ideals,” Amer. Math. Montly, vol. 97, no. 4, pp. 295-310 (1990).
[10] S. Bose and Sinha, “Almost open, almost closed, θ-continuous and almost compact mapping in bitopological spaces,” Bull. Calcutta. Math. Soc, vol. 73, pp. 345-354 (1981).
[11] N. Levine, “Semi open sets and semi-continuity in topological spaces,” Amer. Math. Montly, vol. 70, no. 1, pp. 36-41 (1963).
[12] A.S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deep “On precontinuous and weak precontinuous mappings,” Proced. Phys. Soc. Egyp, vol. 53, pp. 47-53 (1982).
[13] D. Andrijevic, “Semi-preopen sets,” Mat. Vesnik, vol. 38, no. 93, pp. 21-32 (1986).
[14] S. Bose, “Semiopen sets, Semicontinuity and semiopen mappings in bitopological spaces,” Bull. Cal. Math. Soc, vol. 73, pp. 237-246 (1981).
[15] F. H. Khedr, S. M. Al.Areefi and T. Noiri, “Precontinuity and semi-precontinuity in bitopological spaces,” Indian J. Pure Appl. Math, vol. 23, no. 9, pp. 625-633 (1992).
[16] F. H. Khedr and A. M. Alshibani, “On pairwise super continuous mapping in bitopological spaces,” Internat. J. Math. Math. Sci, vol. 14, no. 4, pp. 715-722 (1991).
