Best approximation in asymmetric normed linear spaces
mag（2011）
Abstract
In this paper we show that the set of right K-Lipschitz mappings from an asymmetric normed linear space (X,p) to another asymmetric normed linear space (Y,q), which vanish at a fixed point x 0 ∈ X can be endowed with the structure of an asymmetric normed cone. This provides an appropriate setting to characterize both the points of best approximation in asymmetric normed linear spaces. We also show that this space is bicomplete quasi-metric space.
MoreTranslated text
Key words
chebyshev approximation,algorithm design and analysis,information science,approximation theory,topology,fixed point,measurement,normed linear space,metric space
AI Read Science
Must-Reading Tree
Example
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined