TY - JOUR T1 - A study on nonsymmetric cone normed spaces TT - Simetrik olmayan konik normlu uzaylar üzerine bir çalışma AU - İlkhan, Merve PY - 2020 DA - January DO - 10.25092/baunfbed.685159 JF - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi JO - BAUN Fen. Bil. Enst. Dergisi PB - Balıkesir Üniversitesi WT - DergiPark SN - 1301-7985 SP - 381 EP - 393 VL - 22 IS - 1 LA - en AB - In the realms of theoretical computer science and approximation theory, asymetric normed spaces play an important role. In this paper, by combining asymmetric norm and cone norm, it is defined asymmetric cone normed spaces. Also, it is introduced and studied some topological concepts in asymmetric cone normed spaces. KW - Asymmetric norm KW - cone norm KW - convergence KW - completeness N2 - Teorik bilgisayar bilimi ve yaklaşım teorisi alanlarında asimetrik normlu uzaylar önemli bir rol oynamaktadır. Bu çalışmada asimetrik norm ve konik norm birleştirilerek asimetrik konik normlu uzaylar tanımlanmaktadır. Ayrıca asimetrik konik normlu uzaylarda bazı topolojik kavramlar tanıtılmakta ve çalışılmaktadır CR - Long-Guang, H. and Xian, Z., Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications, 332, 1468-1476, (2007). CR - Türkoğlu, D. and Abuloha, M., Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Mathematica Sinica, English Series, 26, 3, 489-496, (2010). CR - Abdeljawad, T., Türkoğlu, D. and Abuloha, M., Some theorems and examples of cone Banach spaces, Journal of Computational Analysis and Applications, 12, 4, 739-753, (2010). CR - Gordji, M. E., Ramezani, M. Khodaei H. and Baghani, H., Cone normed spaces, Caspian Journal of Mathematical Sciences, 1, 1, 7-12, (2012). CR - Deimling, K., Nonlinear functional analysis, Springer-Verlag, Berlin, (1985). CR - Radenovic, S. and Kadelburg, Z., Quasi-contractions on symmetric and cone symmetric spaces, Banach Journal of Mathematical Analysis, 5, 38-50, (2011). CR - Wilson, W. A., On quasi metric spaces, American Journal of Mathematics, 53, 675-684, (1931). CR - Garcia-Raffi, L. M., Compactness and finite dimension in asymmetric normed linear spaces, Topology and Its Applications, 153, 844-853, (2005). CR - Alegre, C., Ferrando, I., Garcia-Raffi, L. M. And Sanchez Perez, E. A., Compactness in asymmetric normed spaces, Topology and Its Applications, 155, 6, 527-539, (2008). CR - Cobzas, S., Functional analysis in asymmetric normed spaces, Birkhauser, (2012). CR - Collins J. and Zimmer, J., An asymmetric Arzela Ascoli theorem, Topology and Its Applications, 154, 2312-2322, (2007). CR - İlkhan, M., Zengin Alp, P. and Kara, E. E., On the spaces of linear operators acting between asymmetric cone normed spaces, Mediterranean Journal of Mathematics, 15, 136, 12 pages, (2018). CR - Kelly, J. C., Bitopological spaces, Proceedings of the London Mathematical Society, 13, 1, 71-89, (1963). CR - Reilly, I. L., Subrahmanyam, P. V. And Vamanamurthy, V. K., Cauchy sequences in quasi-pseudo-metric spaces, Monatshefte für Mathematik, 93, 127, 127-140, (1982). CR - Romaguera, S., Left K-completeness in quasi metric spaces, Mathematische Nachrichten, 157, 15-23, (1992). UR - https://doi.org/10.25092/baunfbed.685159 L1 - https://dergipark.org.tr/tr/download/article-file/957819 ER -