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Gregori, Valentn, Minana, Juan-Jose, Morillas, Samuel. (1393). A note on convergence in fuzzy metric spaces. نشریه علمی دانشگاه سیستان و بلوچستان, 11(4), 75-85. doi: 10.22111/ijfs.2014.1625
Valentn Gregori; Juan-Jose Minana; Samuel Morillas. "A note on convergence in fuzzy metric spaces". نشریه علمی دانشگاه سیستان و بلوچستان, 11, 4, 1393, 75-85. doi: 10.22111/ijfs.2014.1625
Gregori, Valentn, Minana, Juan-Jose, Morillas, Samuel. (1393). 'A note on convergence in fuzzy metric spaces', نشریه علمی دانشگاه سیستان و بلوچستان, 11(4), pp. 75-85. doi: 10.22111/ijfs.2014.1625
Gregori, Valentn, Minana, Juan-Jose, Morillas, Samuel. A note on convergence in fuzzy metric spaces. نشریه علمی دانشگاه سیستان و بلوچستان, 1393; 11(4): 75-85. doi: 10.22111/ijfs.2014.1625

A note on convergence in fuzzy metric spaces

Iranian Journal of Fuzzy Systems
مقاله 7، دوره 11، شماره 4، آبان 2014، صفحه 75-85    اصل مقاله (159.88 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1625
نویسندگان
Valentn Gregori* 1؛ Juan-Jose Minana1؛ Samuel Morillas2
1Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
2Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
چکیده
The sequential $p$-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. In such a case $M$ is called an $s$-fuzzy metric. If $(N_M,\ast)$ is a fuzzy metric on $X$ where $N_M(x,y)=\bigwedge\{M(x,y,t):t>0\}$ then it is proved that the topologies deduced from $M$ and $N_M$ coincide if and only if $M$ is an $s$-fuzzy metric.
کلیدواژه‌ها
Fuzzy metric space؛ principal fuzzy metric؛ $p$-convergence
مراجع
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