3 papers
math.OC2026
Norm Minimisation Problems Involving Distances to Convex Sets
Doan Huu Hieu, Nguyen Duy Cuong
The paper studies product-space norm minimisation problems involving distances to convex sets. Using standard tools from convex and functional analysis, we establish complete dual…
math.FA2026
A von Neumann-Jordan Constant of Non-Normable Metrics
Doan Huu Hieu, Nguyen Duy Cuong
The paper studies a generalized von Neumann-Jordan constant of non-normable metrics on vector spaces. To the best of our knowledge, all existing results of the von Neumann-Jordan c…
math.MG2026
Metric constructions and fixed point theorems in product spaces
Doan Huu Hieu, Vo Minh Tam, Nguyen Duy Cuong
The paper studies a general scheme for constructing metrics on a product of metric spaces by means of a family of continuous convex functions. This construction includes the conven…