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Linear operator of various types and its basic properties | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3949-3957 اصل مقاله (401.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6194 | ||
| نویسندگان | ||
| Alaa Abdalkareem Khalaf؛ Jehad Rmadhan Kider* | ||
| Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Iraq | ||
| تاریخ دریافت: 27 مرداد 1400، تاریخ بازنگری: 13 شهریور 1400، تاریخ پذیرش: 19 مهر 1400 | ||
| چکیده | ||
| We are starting to construct a new theory of linear operators of various types defined on fuzzy normed space inspired by the theory of linear operators of various types defined on ordinary normed space. The first goal in this paper is to introduce the notion of a fuzzy bounded linear operator on a-fuzzy normed space then basic properties of this type of linear operators are proved. The second aim in this paper is to introduce the notion of a fuzzy compact linear operator on a-fuzzy normed space then we shall discuss important general properties of this type of linear operators. | ||
| کلیدواژه‌ها | ||
| a-fuzzy normed space؛ Fuzzy bounded linear operator؛ Fuzzy compact linear operator | ||
| مراجع | ||
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[1] A. Ali, Properties of Complete Fuzzy Normed Algebra, M.Sc. Thesis, University of Technology, Iraq, 2018. [2] N. Kadhum, On Fuzzy Norm of a Fuzzy Bounded Operator on Fuzzy Normed Spaces, M.Sc. Thesis, University of Technology, Iraq, 2017. [3] J.R. Kider, On fuzzy normed spaces, Eng. Tech. J. 29(9) (2011) 1790–1795. [4] J.R. Kider, Completion of fuzzy normed spaces, Eng. Tech. J. 29(10) (2011) 2004–2012. [5] J.R. Kider, New fuzzy normed spaces, J. Baghdad Sci. 9 (2012) 559–564. [6] J.R. Kider, Some properties of algebra fuzzy metric space, J. Al-Qadisiyah Comput. Sci. Math. 12(2) (2020) 43–56. [7] J.R. Kider, Some properties of fuzzy Soft metric space, Al-Qadisiyah J. Pure Sci. 25(2) (2020) 1–13. [8] J.R. Kider and A. Ali, Properties of fuzzy absolute value on and properties finite dimensional fuzzy normed space, Iraqi J. Sci. 59(2B) (2018) 909–916. [9] J.R. Kider and M. Gheeab, Properties of a general fuzzy normed space, Iraqi J. Sci. 60(4)(2019) 847–855. [10] J.R. Kider and M. Gheeab, Properties of the space GFB(V, U), J. AL-Qadisiyah Comput. Sci. Math. 11(1) (2019). [11] J.R. Kider and M. Gheeab, Properties of the adjoint operator of a general fuzzy bounded operator, Baghdad Sci. J. 18(1) (2021) 790–796. [12] J.R. Kider and N. Kadhum, Properties of fuzzy norm of fuzzy bounded operators, Iraqi J. Sci. 58(3A) (2017) 1237–1281. [13] J.R. Kider and N. Kadhum, Properties of fuzzy compact linear operators on fuzzy normed spaces, Baghdad Sci. J. 16(1) (2019) 104–110. [14] Z.A. Khudhair, Some Properties of Algebra Fuzzy Normed Space, M.Sc. Thesis, University of Technology, Iraq, 2021. [15] Z.A. Khudhair and J.R. Kider, Some properties of algebra fuzzy absolute value space and algebra fuzzy normed space, Al-Qadisiyah J. Pure Sci. 25(4) (2020) 46–58. [16] Z.A. Khudhair and J.R. Kider, Some properties of fuzzy compact algebra fuzzy normed spaces and finite-dimensional algebra fuzzy normed spaces, J. Phys. Conf. Ser. 1879 (2021) 1–11. [17] Z.A. Khudhair and J.R. Kider, The Hausdorff a-fuzzy distance and its basic properties, Engin. Technol. J. 39(7) (2021) 1185–1194. | ||
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