Abdeljawad, Thabet2024-07-122024-07-122009Abdeljawad, T. (2009). Order norm completion of cone metric spaces. Maltepe Üniversitesi. s. 372.9.78605E+12https://hdl.handle.net/20.500.12415/2949In this paper a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed. This order norm has to satisfy the generalized absolute value property. In particular if E is a Dedekind complete Banach lattice then together with its absolute value norm they satisfy the desired properties.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessCone metric spaceCone norm spaceStrongly minihedralCone isometryAbsolute value preopertyConference Object373372