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Ozkoc, M., Sarıkaya Atasever, K. (2019). On some forms of e*-irresoluteness. Journal of Linear and Topological Algebra (JLTA), 08(01), 25-39.
M. Ozkoc; K. Sarıkaya Atasever. "On some forms of e*-irresoluteness". Journal of Linear and Topological Algebra (JLTA), 08, 01, 2019, 25-39.
Ozkoc, M., Sarıkaya Atasever, K. (2019). 'On some forms of e*-irresoluteness', Journal of Linear and Topological Algebra (JLTA), 08(01), pp. 25-39.
Ozkoc, M., Sarıkaya Atasever, K. On some forms of e*-irresoluteness. Journal of Linear and Topological Algebra (JLTA), 2019; 08(01): 25-39.

On some forms of e*-irresoluteness

Article 3, Volume 08, Issue 01, Winter 2019, Page 25-39  XML PDF (152.19 K)
Document Type: Research Paper
Authors
M. Ozkoc orcid ; K. Sarıkaya Atasever
Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University 48000 Mentese-Mugla, Turkey
Abstract
‎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.
Keywords
$e^*$-open; $e^*$-$theta$-open; weakly $e^*$-irresolute; strongly $e^*$-irresolute; strongly $e^*$-regular space
Main Subjects
General topology
References
[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.

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