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some critical remarks on the paper “a note on the metrizability of tvs-cone metric spaces”
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نویسنده
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aleksic suzana m. ,paunovic ljiljana r. ,radenovic stojan n. ,vetro francesca
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منبع
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military technical courier - 2018 - دوره : 66 - شماره : 1 - صفحه:1 -8
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چکیده
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This short and concise note provides a detailed exposition of the approach and results established by (lin et al, 2015, pp.271-279). we show that the obtained results are not particularly surprising and new. namely, using an old result due to k. deimling it is indicated that tvs-cone metric spaces over solid cones are actually cone metric spaces over normal solid cones. hence, there are only cone metric spaces over normal solid cones or over normal non-solid cones. one question still unanswered is whether an ordered topological vector space with a non-normal non-solid cone exists.
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کلیدواژه
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tvs-cone metric space ,metrizable ,solid ,normal ,non-normal
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آدرس
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university of kragujevac, faculty of science, department of mathematics and informatics, serbia, university of priština - kosovska mitrovica, faculty of education in prizren - leposavic, serbia, university of belgrade, faculty of mechanical engineering, serbia, university of palermo, department of energy, information engineering and mathematical models (deim), italy
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پست الکترونیکی
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francesca.vetro@unipa.it
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Authors
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