Selective properties of fuzzy 2-metric spaces
Authors: Kočinac Lj.D.R., Çetkin V., Dolićanin Đekić D.
Keywords: F-2-Menger bounded; F-2-Hurewicz bounded; F-2-Rothberger bounded; game theory
Abstract:
Abstract: We introduce and study some selective covering properties in fuzzy 2-metric spaces. These properties are related to the classical covering properties of Menger, Hurewicz and Rothberger which are well known in selection principles theory.
References:
[1]Ahler, S.G. (1963/1964) 2-metrische Räume und ihre topologische Struktur. Math. Nachr, 26(1-4): 115-148
[2]Ahler, S.G. (1964) Lineare 2-normierte Räume. Math. Nachr, 28(1-2): 1-43
[3]Çakalli, H., Ersan, S. (2016) New types of continuity in 2-normed spaces. Filomat, 30(3): 525-532
[4]Çakalli, H., Ersan, S. (2014) Strongly lacunary ward continuity in 2-normed spaces. Sci. World J, Article ID 479679, 5 pages
[5]Das, P., Pal, S., Ghosal, S.K. (2011) Further investigations of ideal summability in 2-normed spaces. Appl. Math. Lett, 24(1): 39-43
[6]Ersan, S., Çakalli, H. (2015) Ward continuity in 2-normed spaces. Filomat, 29(7): 1507-1513
[7]Kočinac, L.J.D.R. (2004) Selected results on selection principles. u: Proceedings of the Third Seminar on Geometry and Topology, July 15-17, Tabriz, Iran, pp. 71-104
[8]Kočinac, L.J.D.R., Rashid, M.H.M. (2017) On ideal convergence of double sequences in the topology induced by a fuzzy 2-norm. TWMS J. Pure Appl. Math, 8(1): 97-111
[9]Rashid, M.H.M., Kočinac, L.J.D.R. (2017) Ideal convergence in 2-fuzzy 2-normed spaces. Hacettepe Journal of Mathematics and Statistics, 1(46): 145-159
[10]Raymond, W., Freese, Y., Cho, J. (2001) Geometry of Linear 2-Normed Spaces. Huntington: N.Y. Nova Science Publishers
[11]Sakai, M., Scheepers, M. (2014) The combinatorics of open covers. u: Hart K.P.; van Mill J.; Simon P. [ur.] Recent Progress in General Topology III, Atlantis Press, pp. 751-800
[12]Savas, E. (2010) On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function. J. Inequal. Appl, Article ID 482392, 8 pages
[13]Schweizer, B., Sklar, A. (1960) Statistical metric spaces. Pacific Journal of Mathematics, 10(1): 313-334
[14]Sharma, S. (2002) On fuzzy metric spaces. Southeast Asian Bull. Math, 26(1): 133-145