TY - JOUR T1 - Wijsman Quasi-Hemen Hemen İstatistiksel Cauchy Dizi AU - Gülle, Esra PY - 2019 DA - May DO - 10.35414/akufemubid.478536 JF - Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi PB - Afyon Kocatepe University WT - DergiPark SN - 2149-3367 SP - 87 EP - 91 VL - 19 IS - 1 LA - tr AB - Buaraştırma makalesinde, küme değerli diziler için Wijsman quasi-hemen hemenistatistiksel Cauchy dizi kavramı tanıtıldı. Ayrıca, tanıtılan bu yeni kavramile daha önceden küme değerli diziler için verilen Wijsman quasi-hemen hemenyakınsaklık ve Wijsman quasi-hemen hemen istatistiksel yakınsaklık kavramlarıarasındaki ilişkiler incelendi. KW - Wijsman yakınsaklık KW - Küme değerli dizi KW - Quasi-hemen hemen yakınsaklık KW - İstatistiksel yakınsaklık KW - Cauchy dizi CR - Baronti, M. and Papini, P., 1986. Convergence of sequences of sets. In: Methods of Functional Analysis in Approximation Theory (pp. 133-155), ISNM 76, Birkhauser-Verlag, Basel. CR - Beer, G., 1985. On convergence of closed sets in a metric space and distance functions. Bulletin of the Australian Mathematical Society, 31(3), 421-432. CR - Beer, G., 1994. Wijsman convergence: A survey. Set-Valued Analysis, 2(1-2), 77-94. CR - Dündar, E., Ulusu, U. and Pancaroğlu, N., 2016. Strongly I_2-convergence and I_2-lacunary Cauchy double sequences of sets. The Aligarh Bulletin of Mathematics, 35(1-2), 1-15. CR - Dündar, E., Ulusu, U. and Aydın, B., 2017. I_2-lacunary statistical convergence of double sequences of sets. Konuralp Journal of Mathematics, 5(1), 1-10. CR - Gülle, E. and Ulusu, U., 2017. Quasi-almost convergence of sequences of sets. Journal of Inequalities and Special Functions, 8(5), 59-65. CR - Gülle, E. and Ulusu, U., 2018. Quasi-almost lacunary statistical convergence of sequences of sets. International Journal of Analysis and Applications, 16(2), 222-231. CR - Fast, H., 1951. Sur la convergence statistique. Colloquium Mathematicum, 2(3-4), 241-244. CR - Fridy, J. A., 1985. On statistical convergence. Analysis, 5(4), 301-314. CR - Hajdukovic, D., 2002. Quasi-almost convergence in a normed space. Univerzitet u Beogradu-Publikacije Elektrotehničkog fakulteta-Serija Matematika, 13, 36-41. CR - Lorentz, G. G., 1948. A contribution to the theory of divergent sequences. Acta Mathematica, 80(1), 167-190. CR - Maddox, I. J., 1978. A new type of convergence. Mathematical Proceedings of the Cambridge Philosophical Society, 83(1), 61-64. CR - Nuray, F. and Rhoades, B. E., 2012. Statistical convergence of sequences of sets. Fasciculi Mathematici, 49, 87-99. CR - Nuray, F., Ulusu, U. and Dündar, E., 2014a. Cesaro summability of double sequences of sets. General Mathematics Notes, 25(1), 8-18. CR - Nuray, F., Dündar, E. and Ulusu, U., 2014b. Wijsman I_2-convergence of double sequences of closed sets. Pure Appl. Math. Lett., 2, 35-39. CR - Nuray, F., Ulusu, U. and Dündar, E., 2016. Lacunary statistical convergence of double sequences of sets. Soft Computing, 20, 2883-2888. CR - Salat, T., 1980. On statistically convergent sequences of real numbers. Mathematica Slovaca, 30(2), 139-150. CR - Sever, Y., Ulusu, U. and Dündar, E., 2014. On strongly I and I*-lacunary convergence of sequences of sets. AIP Conference Proceedings, 1611(1), 357-362. CR - Ulusu, U. and Nuray, F., 2012. Lacunary statistical convergence of sequences of sets. Progress in Applied Mathematics, 4(2), 99-109. CR - Ulusu, U. and Nuray, F., 2013a. On strongly lacunary summability of sequences of sets. Journal of Applied Mathematics and Bioinformatics, 3(3), 75-88. CR - Ulusu, U. and Nuray, F., 2013b. Statistical lacunary summability of sequences of sets. Afyon Kocatepe University Journal of Science and Engineering, 13, 9-14. CR - Ulusu, U. and Dündar, E., 2014. I-lacunary statistical convergence of sequences of sets. Filomat, 28(8), 1567-1574. CR - Ulusu, U. and Nuray, F., 2015. Lacunary statistical summability of sequences of sets. Konuralp Journal of Mathematics, 3(2), 176-184. CR - Ulusu, U. and Kişi, Ö., 2017. I-Cesaro summability of sequences of sets. Electronic Journal of Mathematical Analysis and Applications, 5(1), 278-286. CR - Ulusu, U., Dündar, E. and Nuray, F., 2018. Lacunary I_2-invariant convergence and some properties. International Journal of Analysis and Applications, 16(3), 317-327. CR - Wijsman, R. A., 1964. Convergence of sequences of convex sets, cones and functions. Bulletin of the American Mathematical Society, 70(1), 186-188. CR - Wijsman, R. A., 1966. Convergence of sequences of convex sets, cones and functions II, Transactions of the American Mathematical Society, 123 (1), 32-45. UR - https://doi.org/10.35414/akufemubid.478536 L1 - https://dergipark.org.tr/en/download/article-file/718186 ER -