Page 1 Next

Displaying 1 – 20 of 30

Showing per page

Remarks on best approximation in R-trees

William Kirk, Bancha Panyanak (2009)

Annales UMCS, Mathematica

An R-tree is a geodesic space for which there is a unique arc joining any two of its points, and this arc is a metric segment. If X is a closed convex subset of an R-tree Y, and if T: X → 2Y is a multivalued mapping, then a point z for which [...] is called a point of best approximation. It is shown here that if T is an ε-semicontinuous mapping whose values are nonempty closed convex subsets of Y, and if T has at least two distinct points of best approximation, then T must have a fixed point. We...

Currently displaying 1 – 20 of 30

Page 1 Next