Abstract convexity in metric spaces

dc.contributor.advisor	Whitfield, John
dc.contributor.author	Saha, Tushar Kanti
dc.date.accessioned	2017-06-05T14:40:38Z
dc.date.available	2017-06-05T14:40:38Z
dc.date.created	1985
dc.date.issued	1985
dc.identifier.uri	http://knowledgecommons.lakeheadu.ca/handle/2453/1030
dc.description.abstract	Convexity in metric space is the main topic of discussion in this thesis. To undertake the study we have studied extensively the means introduced by Doss and included the results concerning means derived by Gahier and Murphy. We use this definition of a mean to define a new notion of convexity on a metric space, called B-convexity. B-convexity has been compared with other notions of convexity on a metric space. Finally following a construction given by Machado, we show that a B-convex metric space, satisfying certain properties, is essentially a convex subset of a normed space and the space is unique.
dc.language.iso	en_US
dc.subject	Metric spaces
dc.subject	Convex domains
dc.title	Abstract convexity in metric spaces
dc.type	Thesis
etd.degree.name	Master of Science
etd.degree.level	Master
etd.degree.discipline	Mathematical Sciences
etd.degree.grantor	Lakehead University