International Journal of Theoretical and Applied Mathematics

Volume 4, Issue 3, June 2018

  • Mutually Nearest Points for Two Sets in Metric Spaces

    Gaj Ram Damai, Prakash Muni Bajracharya

    Issue: Volume 4, Issue 3, June 2018
    Pages: 29-34
    Received: 27 August 2018
    Accepted: 18 September 2018
    Published: 7 November 2018
    Abstract: In this paper, we give some new conditions for the existence and uniqueness of mutually nearest points of two sets, i.e., two points which achieve the minimum distance between two sets in a metric or Banach spaces. These conditions are seen in case of compact sets, weak Compact sets, closed and convex sets, weakly sequentially compact sets and boun... Show More