Lakehead University Library Logo
    • Login
    View Item 
    •   Knowledge Commons
    • Electronic Theses and Dissertations
    • Retrospective theses
    • View Item
    •   Knowledge Commons
    • Electronic Theses and Dissertations
    • Retrospective theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.
    quick search

    Browse

    All of Knowledge CommonsCommunities & CollectionsBy Issue DateAuthorTitleSubjectDisciplineAdvisorCommittee MemberThis CollectionBy Issue DateAuthorTitleSubjectDisciplineAdvisorCommittee Member

    My Account

    Login

    Statistics

    View Usage Statistics

    Abstract convexity in metric spaces

    Thumbnail

    View/Open

    SahaT1985m-1b.pdf (2.754Mb)

    Date

    1985

    Author

    Saha, Tushar Kanti

    Degree

    Master of Science

    Discipline

    Mathematical Sciences

    Subject

    Metric spaces
    Convex domains

    Metadata

    Show full item record

    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.

    URI

    http://knowledgecommons.lakeheadu.ca/handle/2453/1030

    Collections

    • Retrospective theses

    Lakehead University Library
    Contact Us | Send Feedback

     


    Lakehead University Library
    Contact Us | Send Feedback