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uniform lipschitz-connectedness and metric convexity
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نویسنده
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baboolal dharmanand ,pillay paranjothi
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منبع
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categories and general algebraic structures with applications - 2025 - دوره : 22 - شماره : 1 - صفحه:139 -155
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چکیده
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In this paper we continue with our study of uniformly lipschitz-connected metric spaces. we obtain further properties of uniformly lipschitz-connected metric spaces and then obtain a generalisation of a result due to edelstein. in addition, we show that for a proper lipschitz-connected metric space, ld = 1 precisely when x is convex, which leads us to conjecture that ld is a kind of measure of convexity in a proper lipschitz-connected metric space. we provide some examples to corroborate our conjecture.
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کلیدواژه
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metric space ,lipschitz-connected ,uniformly lipschitz connected ,proper metric space ,dilatations ,universal lipschitz constant
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آدرس
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university of kwazulu-natal, school of mathematics, statistics and computer science, south africa. national institute for theoretical and computational sciences (nithecs), south africa, university of the western cape, department of mathematics and applied mathematics, south africa. national institute for theoretical and computational sciences (nithecs), south africa
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پست الکترونیکی
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parpillay@uwc.ac.za
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Authors
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