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Open Access Research Article

Weakly (K, L)-continuous functions in ideal bitopological spaces

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pp. 71–84Vol. 29Issue 1January 2026DOI: 10.47974/JIM-2179XML
Received:
06 Aug 2024
Published Online:
14 Jan 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2179
Pages:
71–84

Abstract

Using the notion of ideal bitopological space we introduce the (k, l)-weakly (K, L)-continuous functions and obtain several properties and looking for its relationships with another type of continuity. Also we define the notion of b-(K, L)-compact relative and we prove the preservation of this notion under the (k, l)-weakly (K, L)-continuous functions.

Keywords

Subject Classifications

54C0854C1054E5554A05

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] F. N. Nassar and M. Ismael, “On soft Lindelöf spaces in bitopological spaces via soft ℵ-open sets,” Journal of Interdisciplinary Mathematics, vol. 24, no. 7, pp. 1901-1906 (2021). 
[4] A. Al-Omari and T. Noiri, “On θ(I,J)-continuous functions,” Rend. Istit. Mat. Univ. Triestre, vol. 44, pp. 399-411 (2012). 
[5] C. Carpintero, N. Rajesh and E. Rosas, “On Decomposition of Bioperation-Continuity,” Comptes rendus de lAcademie Bulgare des Sciences, vol. 73, no. 4, pp. 443-450 (2020). 
[6] E. Rosas, C. Carpintero, N. Rajesh and J. Sanabria, “A note on (I,J)-continuous functions,” Boletim da Sociedade Paranaense de Matemática, 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, pp. 51-61 (1945). 
[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] A.S. Mashhour, M. E. Abd El-Monsef and El-Deep, “On precontinuous and weak precontinuous mappings,” Proced. Phys. Soc. Egyp, vol. 53, pp. 47-53 (1982). 
[12] 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). 
[13] C. G. Kariofillis, “On pairwise almost compactness,” Ann. Soc. Sci. Bruxelles, vol. 100, pp. 129-137 (1986). 
[14] C. Carpintero, N. Rajesh, E. Rosas and J. Sanabria, “Almost (K,L)-continuous functions in ideal bitopological space,” Journal of Interdisciplinary Mathematics, vol. 28, no 5, pp. 1813-1824 (2025). 
[15] V. Popa and T. Noiri, “Some properties of weakly quasi-continuous functions in bitopological spaces,” Mathematica (Cluj), vol. 46, no 69, pp. 105-112 (2004). 
[16] A. R. Singal and S. P. Arya, “On pairwise almost regular spaces,” Glasnik Mat. Ser. III, vol. 6, no. 26, pp. 335-343 (1971). 
[17] G. K. Banerjee, “On pairwise almost strongly θ-continuous mappings,” Bull. Calcutta Math. Soc, vol. 79, pp.314-320 (1987). 

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