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On almost e-I-continuous functions

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Języki publikacji
EN
Abstrakty
EN
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
Rocznik
Strony
168--177
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
  • Department of Mathematics, Al-Balqa Applied University, Salt 19117, Jordan
  • 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.
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  • [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.
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  • [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.
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  • [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.
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  • [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.
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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
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