Construction of Convergent Sequence in Cone 2-Normed Spaces
Kata Kunci:
Convergent sequence, cone 2-normed spaceAbstrak
We introduce an idea of convergent sequence in a cone 2-normed space. We show that the convergence in 2-normed spaces using the definition of 2-norm by considering its dual space. Then we construct the convergence in cone 2-normed space, particularly for l2-space.
Referensi
Sadjidon and H. Gunawan, “Konstruksi ruang 2-norm sebagai luasan yang direntang oleh dua vektor,” Journal of Mathematics and Its Applications (LIMITS), vol. 4, no. 2, pp. 45–51, Aug. 2007.
M. Eshaghi Gordji, M. Ramezani, H. Khodaei, and H. Baghani, “Cone normed spaces,” Caspian Journal of Mathematical Sciences, vol. 1, no. 1, 2012.
A. Sahiner and T. Yigit, “2-cone Banach spaces and fixed point theorem,” AIP Conference Proceedings, vol. 1479, no. 1, pp. 975–978, 2012.
H. Gunawan, “The space of p-summable sequences and its natural n-norm,” Bulletin of the Australian Mathematical Society, vol. 64, no. 1, pp. 137–147, Aug. 2001.
Sadjidon and Sunarsini, “Construction of difference cone normed space,” in South East Asian Conference of Mathematics and Its Applications (SEACMA), 2013.
Sadjidon, M. Yunus, and Sunarsini, “2-norma cone pada ruang l2,” in Simposium Nasional Analisis Matematika dan Aplikasinya (SNAMA), 2014.
C. R. Diminnie, “A new orthogonality relation for normed linear spaces,” Mathematische Nachrichten, vol. 114, no. 1, pp. 197–203, 1983.



