Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
This work is concerned with a new class of functions called almost e-I-continuous functions containing the class of almost e-continuous functions. This notion is stronger than almost δβI-continuous functions and is weaker than both almost e-continuous functions and e-I-continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.
Wydawca
Czasopismo
Rocznik
Tom
Strony
168--177
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
- Department of Mathematics, Al-Balqa Applied University, Salt 19117, Jordan
autor
- 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken 869-5142, Japan
Bibliografia
- [1] E. Hatir, On decompositions of continuity and complete continuity in ideal topological spaces, Eur. J. Pure Appl. Math. 6(2013), no. 3, 352-362.
- [2] E. Ekici and T. Noiri, On subsets and decompositions of continuity in ideal topological spaces, Arab. J. Sci. Eng. Sect. A Sci. 34(2009), no. 1, 165-177.
- [3] W. Al-Omeri, M. Noorani, and A. Al-Omari, On e-I-open sets, e-I-continuous functions and decomposition of continuity, J. Math. Appl. 38(2015), 5-31, DOI: https://doi.org/10.7862/rf.2015.2.
- [4] K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1966.
- [5] D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97(1990), 295-310.
- [6] M. N. Mukherjee, R. Bishwambhar, and R. Sen, On extension of topological spaces in terms of ideals, Topology Appl. 154(2007), no. 1, 3167-3172.
- [7] F. G. Arenas, J. Dontchev, and M. L. Puertas, Idealization of some weak separation axioms, Acta Math. Hungar. 89(2000), no. 1-2, 47-53.
- [8] A. A. Nasef and R. A. Mahmoud, Some applications via fuzzy ideals, Chaos Solitons Fractals 13(2002), 825-831.
- [9] S. Modak and T. Noiri, Remarks on locally closed set, Acta Comment. Univ. Tartuensis Math. 22(2018), no. 1, 57-64.
- [10] S. Modak and T. Noiri, Connectedness of ideal topological spaces, Filomat 29(2015), no. 4, 661-665.
- [11] S. Modak, Some new topologies on ideal topological spaces, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 82(2012), no. 3, 233-243.
- [12] A. M. Zahran, A. Ghareeb, and A. K. Mousa, Almost continuity and its applications on weak structures, Afrika Matematika 28(2017), 831-839, DOI: https://doi.org/10.1007/s13370-017-0490-z.
- [13] M. Stone, Application of the theory of boolean rings to general topology, Trans. Amer. Math. Soc. 41(1937), 375-481.
- [14] N. Velicko, H-closed topological spaces, Amer. Math. Soc. Trans. 78(1968), no. 2, 103-118.
- [15] S. Yuksel, A. Acikgoz, and T. Noiri, On δ-I-continuous functions, Turk. J. Math. 29(2005), 39-51.
- [16] W. Al-Omeri and T. Noiri, AGI∗-sets, BGI∗-sets and δβI-open sets in ideal topological spaces, Int. J. Adv. Math. 2018(2018), no. 4, 25-33.
- [17] W. F. Al-Omeri, M. S. Md. Noorani, A. Al-Omari, and T. Noiri, Weak separation axioms viae e-I-sets in ideal topological spaces, Eur. J. Pure Appl. Math. 8(2015), no. 4, 502-513. Available: https://ejpam.com/index.php/ejpam/article/view/2488.
- [18] W. Al-Omeri, M. S. Md. Noorani, and A. Al-Omari, Weak open sets on simple extension ideal topological space, Ital. J. Pure Appl. Math. 33(2014), 333-344.
- [19] W. Al-Omeri, M. Noorani, and A. Al-Omari, New forms of contra-continuity in ideal topology spaces, Missouri J. Math. Sci. 26(2014), no. 1, 33-47.
- [20] E. Ekici, On a-open sets, A∗-sets and decompositions of continuity and super continuity, Ann. Univ. Sci. Budapest 51(2008) 39-51.
- [21] N. Levine, A decomposition of continuity in topological spaces, Amer. Math. Monthly 68(1961), 44-46.
- [22] S. Modak and T. Noiri, Connectedness via b-open sets, Creat. Math. Inform. 24(2015), no. 2, 189-192.
- [23] S. Modak and T. Noiri, A weaker form of connectedness, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 65(2016), no. 1, 49-52.
- [24] S. Modak and T. Noiri, A weaker form of connectedness, J. Chugcheong Math. Soc. 29(2016), no. 2, 121-127.
- [25] S. Modak and M. M. Islam, More connectedness in topological spaces, Caspian J. Math Sci. 8(2019), no. 1, 74-83.
- [26] S. Modak and T. Noiri, Remarks on Cl-Cl-connectedness, Eurasian Bull. Math. 2(2019), no. 3, 111-114.
- [27] D. Carnahan, Locally nearly-compact spaces, Boll. Un. Mat. Ital. 4(1972), no. 6, 146-153.
- [28] A. A. Nasef and A. S. Farrag, Completely b-irresolute functions, Proc. Math. Phys. Soc. Egypt 74(1999), 73-86.
- [29] S. Willard, General Topology, Addition-Wesley Pub. Co., Massachusetts, 1970.
- [30] E. Ekici, On e-open sets, DP∗-sets and DPE∗-sets and decompositions of continuity, Arab. J. Sci. Eng. Sect. A Sci. 33(2008), no. 2A, 269-282.
- [31] M. Ganster, Preopen sets and resolvable spaces, Kyungpook Math. J. 27(1987), no. 1, 35-43.
- [32] J. C. Tong, A decomposition of continuity, Acta Math. Hungar. 48(1986), no. 1-2, 11-15.
Uwagi
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e9fba511-a90e-4be1-8d68-47c2a562ce5c