Document Type : Original Article

Authors

1 Raja Doraisingam Govt. Arts College, Sivagangai, Tamilnadu, India

2 Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India

Abstract

The research here that we develop an operator of bounded linear method generates certain Neutrosophic 2-normed double sequence spaces of I -convergent that are specifying their followed results. In addition, we search for certain fundamental topological as well as algebraic characteristics regarding among these particular fields.

Keywords

[1] S. Broumi, S. Mohanaselvi, T. Witczak, M. Talea, A. Bakali, and F. Smarandache, Complex fermatean neutrosophic graph and application to decision making, Decision Mak.: Appl. Manag. Engin., 6(1) (2023), 474-501.
[2] S. Broumi, R. Sundareswaran, M. Shanmugapriya, A. Bakali, and M. Talea, Theory and applications of Fermatean neutrosophic graphs, Neutrosophic Sets Syst., 50 (2022), 248-286.
[3] P. Das, P. Kostyrko, W. Wilczynski, and P. Malik, J and J*-convergence of double sequences, Math. Slovaca, 58 (2008), 605-620.
[4] M. Jeyaraman, Generalized Hyers-Ulam-Rassias stability in neutrosophic normed spaces, Octogon Math. Mag., 30(2) (2022), 773-792.
[5] M. Jeyaraman and P. Jenifer, Statistical Δm-convergence in neutrosophic normed spacs, J. Comput. Math., 7(1) (2023), 46-60.
[6] M. Jeyaraman, A. Ramachandran, and V.B. Shakila, Approximate fixed point theorems for weak contractions on neutrosophic normed spaces, J. Comput. Math., 6(1) (2022), 134-158.
[7] V.A. Khan, H.F. Ahmad, and M.F. Khan, On some results in intuitionistic fuzzy ideal convergence double sequence spaces, Adv. Differ. Equ., 2019(1) (2019), 1-10.
[8] V.A. Khan, M. Ahmad, S.N. Hasan, and R. Ahmad, I-convergent difference sequence spaces, J. Math. Anal., 10(2) (2019), 58-68.
[9] V.A. Khan, H.F. Yasmeen, H. Altaf, and Q.M. Danish Lohani, Intuitionistic fuzzy Iconvergent sequence spaces defined by compact operator, Cogent Math., 3 (2016), 1267904.
[10] A.N. Mangayarkkarasi, M. Jeyaraman, and V. Jeyanthi, On stability of a cubic functional equation in neutrosophic normed spaces, Adv. Appl. Math. Sci., 21(4) (2022), 1975-1988.
[11] M. Mursaleen, S.A. Mohiuddine, H. Osama, and H. Edely, On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces, Comput. Math. Appl. 59 (2010), 603-611.
[12] R. Saadati and J.H. Park, On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 (2006), 331–344.
[13] T. Salat, B.C. Tripathy and M. Ziman, On I-convergence field, Ital. J. Pure Appl. Math., 17 (2005), 45-54.
[14] F. Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA, 1998.
[15] F. Smarandache, Neutrosophic set a generalization of the intuitionistic fuzzy sets, J. Defense Resources Manag., 1(1) (2010), 107-116.
[16] B.C.I. Tripathy and B. Hazarika, Some I-Convergent sequence spaces defined by Orliczfunction, Acta Math. Appl. Sinica, 27(1) (2011), 149-154.
[17] L.A. Zadeh, Fuzzy sets, Inf. Control, 8 (1965), 338-353.