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A note on properties of hypermetric spaces | ||
| Journal of Hyperstructures | ||
| دوره 3، شماره 2، اسفند 2014، صفحه 89-100 اصل مقاله (119.02 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2014.2576 | ||
| نویسندگان | ||
| M. Alimohammady* 1؛ S. Jafari2؛ S. Moshokoa3؛ M. Koozehgar Kalleji1 | ||
| 1Department of Mathematics, University of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran | ||
| 2Department of Statistics, College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark | ||
| 3Department of Statistics, University of South Africa, P. O . Box 392 Pretoria, South Africa | ||
| چکیده | ||
| The note studies further properties and results of analysis in the setting of hypermetric spaces. Among others, we present some results concerning the hyper uniform limit of a sequence of continuous functions, the hypermetric identification theorem and the metrization problem for hypermetric space. | ||
| کلیدواژه‌ها | ||
| hypermetric؛ hyper convergence؛ hyper complete؛ hypermetric identification | ||
| مراجع | ||
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[1] A.V.Arhangelskii, General topology III, Encyclopedia of mathematical scinces,Vol 51, Springer-Verlag, Berlin, (1995). [2] D.M. Avis, Hypermetric spaces and the Hamming cone, Canad. J. Math.33(1981), 795-802. [3] R.Engelking, General Topology, PWN-Polish Sci Publ., Warsaw, (1977). [4] A. Geletu, Introduction to topological spaces and set-valued maps, Lecture Note, Institute of mathematics, Department of operations research and Stochastics, Ilmenau University of Tecnology, (2006). [5] T.L. Hicks and B.E.Rhoades, Fixed point theory in symmetric spaces with appli-cations to probabilistic spaces, Nonlinear analysis,36(1999), 331–344. [6] I.M. James, Topological and uniform spaces, ISBN 0-387-96466-5. [7] W. Kai-ting, A New Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to Saddle Point Problems, J. Math. Res. Expos., Vol 28 No.1, (2008), 161–168. [8] J.B. Kelly, Hypermetric spaces. In: The Geometry of Metric and Linear Spaces, Lecture notes in Math.490, pp. 17-31. Berlin: Springer-Verlag, (1975). [9] C. Swartz, An introduction to functional analysis, Marcel Dekker, NY,(1992). [10] A. Weil, Sur les espaces `a structure uniform et sur la topologi g´en´erale, Hermman (1938) Zbl 0019.18604. | ||
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آمار تعداد مشاهده مقاله: 38 تعداد دریافت فایل اصل مقاله: 50 |
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