On some forms of e*-irresoluteness
محورهای موضوعی : General topology
M. Ozkoc
1
(Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University
48000 Mentese-Mugla, Turkey)
K. Sarıkaya Atasever
2
(Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University
48000 Mentese-Mugla, Turkey)
کلید واژه: $e^*$-open, weakly $e^*$-irresolute, strongly $e^*$-irresolute, strongly $e^*$-regular space, $e^*$-$theta$-open,
چکیده مقاله :
The main goal of this paper is to introduce and study two new class of functions, called weakly $e^*$-irresolute functions and strongly $e^*$-irresolute functions, via the notion of $e^*$-open set defined by Ekici [7]. We obtain several fundamental properties and characterizations of these functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions.
[1] Y. Beceren, Almost α-irresolute functions, Bull. Cal. Math. Soc. 92 (2000), 213-218.
[2] Y. Beceren, On semi α-irresolute functions, J. Indian. Acad. Math. 22 (2000), 353-362.
[3] S. G. Crossley, S. K. Hildebrand, Semi-topological properties, Fund. Math. 74 (1972), 233-254.
[4] E. Ekici, New forms of contra continuity, Carpathian. J. Math. 24 (1) (2008), 37-45.
[5] E. Ekici, On a-open sets, A^∗-sets and decompositions of continuity and super-continuity, Annales. Univ. Sci. Budapest. Eötvös. Sect. Math. 51 (2008), 39-51.
[6] E. Ekici, On e-open sets, DP^∗-sets and DPE∗-sets and decompositions of continuity, Arab. J. Sci. Eng. 33 (2A) (2008), 269-282.
[7] E. Ekici, On e^∗-open sets and (D, S)*-sets, Math. Moravica. 13 (1) (2009), 29-36.
[8] E. Ekici, Some generalizations of almost contra-super-continuity, Filomat. 21 (2) (2007), 31-44.
[9] A. A. El-Atik, A study of some types of mappings on topological spaces, MSc thesis, Tanta University, 1997.
[10] E. Hatır, T. Noiri, On δ-β-continuous functions, Chaos. Soliton. Fract. 42 (1) (2009), 205-211.
[11] A. Jumaili, X. Yang, New type of strongly continuous functions in topological spaces via δ-β-open sets, EJPAM. 8 (2) (2015), 185-200.
[12] S. N. Maheshwari, S. S. Thakur, On α-irresolute mappings, Tamkang. J. Math. 11 (2) (1980), 209-214.
[13] R. A. Mahmoud, M. E. Abd El-Monsef, β-irresolute and β-topological invariant, Proc. Pakistan. Acad. Sci. 27 (1990), 285-296.
[14] T. Noiri, Weak and strong froms of β-irresolute functions, Acta. Math. Hungar. 99 (4) (2003), 315-328.
[15] N. Rajesh, On weakly B-irresolute functions, Acta. Univ. Apulensis. 30 (2012), 153-160.
[16] N. V. Velicko, H-closed topological spaces, Amer. Mat. Soc. Transl. Ser. 78 (2) (1968), 103-118.
