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dc.contributor.advisorWhitfield, John
dc.contributor.authorSaha, Tushar Kanti.
dc.date.accessioned2017-06-05T14:40:38Z
dc.date.available2017-06-05T14:40:38Z
dc.date.created1985
dc.date.issued1985
dc.identifier.urihttp://knowledgecommons.lakeheadu.ca/handle/2453/1030
dc.description.abstractConvexity 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.isoen_US
dc.subjectMetric spaces.
dc.subjectConvex domains.
dc.titleAbstract convexity in metric spaces / by Tushar Kanti Saha. --
etd.degree.nameM.Sc.
etd.degree.levelMaster
etd.degree.disciplineMathematical Sciences
etd.degree.grantorLakehead University


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