/manager/Index ${session.getAttribute("locale")} 5 Pancyclicity and Cayley graphs on abelian groups /manager/Repository/uon:16258 Sat 24 Mar 2018 07:54:17 AEDT ]]> The structure of the norned lattice generated by the closed bounded convex subsets of a normed space /manager/Repository/uon:29184 C(X) denote the set of all non-empty closed bounded convex subsets of a normed linear space X. In 1952 Hans Rådström described how C(X) equipped with the Hausdorff metric could be isometrically embedded in a normed lattice with the order an extension of set inclusion. We call this lattice the Rådström of X and denote it by R(X). We: (1) outline Rådström's construction, (2) examine the structure and properties of R(X) as a Banach space, including; completeness, density character, induced mappings, inherited subspace structure, reflexivity, and its dual space, and (3) explore possible synergies with metric fixed point theory.]]> Sat 24 Mar 2018 07:31:37 AEDT ]]>