  Scalarization method is an important tool in the study of vector optimization
as corresponding solutions of vector optimization problems can be found by
solving scalar optimization problems. This is applied by Du (2010) [A note on
cone metric fixed point theory and its equivalence, Nonlinear Analysis 72
2259-2261] to investigate the equivalence of vectorial versions of fixed point
theorems of contractive mappings in generalized cone metric spaces and scalar
versions of fixed point theorems in general metric spaces in usual sense. In
this paper we find out that the topology induced by topological vector space
valued cone metric coincides with the topology induced by the metric obtained
via a nonlinear scalarization function, i.e any topological vector space valued
cone metric space is metrizable.
