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$ \omega $-$ \alpha $-open sets $ \omega $-$ \alpha $-continuity in bitopological spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 107، دوره 13، شماره 1، خرداد 2022، صفحه 1279-1289 اصل مقاله (400.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.21599.2279 | ||
| نویسنده | ||
| Carlos Granados* | ||
| Estudiante de Doctorado en Matematicas, Universidad de Antioquia, Medellin, Colombia | ||
| تاریخ دریافت: 27 مهر 1399، تاریخ بازنگری: 17 آبان 1399، تاریخ پذیرش: 22 آبان 1399 | ||
| چکیده | ||
| The purposes of this article are to introduce and characterize the notions of $ (i,j) $-$ \omega $-$ \alpha $-open sets in bitopological spaces. Besides, It introduces and studies the concepts of $ (i,j) $-$ \omega $-$ \alpha $-continuous functions. Furthermore, $ (i,j) $-$ \omega $-$ \alpha $-connected and $ (i,j) $-$ \omega $-$ \alpha $-set-connected functions are defined in bitopological spaces and some of their properties are studied. | ||
| کلیدواژهها | ||
| j) $-$ alpha $-$ omega $-open sets؛ j) $-$ omega $-$ alpha $-continuous function؛ j) $-$ omega $-$ alpha $-connected؛ $ (i؛ j) $-$ omega $-$ alpha $-set-connected function | ||
| مراجع | ||
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[1] C. Carpintero, E. Rosas, and S. Hussan, (i, j)-ω-semiopen sets and (i, j)-ω-semicontinuity in bitopological spaces, CUBO Math. J. 17(3) (2015), 43–51. [2] C. Granados, ω-N -α-open sets and ω-N -α-continuity in bitopological spaces, Gen. Lett. Math. 8(2) (2020) 41–50. [3] C. Granados, α m-closed sets in bitopological spaces, Int. J. Math. Anal. 14(4) (2020) 171–175. [4] H. Hdeib, ω-closed mappings, Revista Colombiana Mat. 16 (1982) 65–78. [5] H. Hussein, M. Salmi and T. Noiri, Pairwise ωβ-continuous functions, Bull. Malays. Math. Sci. Soc. 36(3) (2013) 577–586. [6] M. Jeli´c, P-continuous mappings, Rend. Circ. Math. Palermo 24 (1990) 387–395. [7] J. Kelly, Bitopological spaces, Rend. Proc. London Math. Soc. 13 (1963) 71–83. [8] F. Khedr, A. Al-Areefi and T. Noiri, Precontinuity and semiprecontinuity, Inian J. Pure Appl. Math. 23(9) (1992) 625–633. [9] O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965) 961–970. [10] W. Pervin, Connectedness in bitopological spaces, Ind. Math. 29 (1967) 369–372. | ||
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