| MSC: | 54E35 | Metric spaces, metrizability |
| 54E40 | Special maps on metric spaces |
Abstract:
By using a metric d on a set X, a function φ of X to itself, a metric ρ
on the range of φ , and a suitable relation Γ on X 2 to X, we construct a metric d ρφΓ
on X. This compound metric includes the postman, radial, and river metrics as some very
particular cases.
Our construction here closely follows a former one of M. Borkowski, D. Bugajewski, and
H. Przybycień. Moreover, it may also be compared to that of A. G. Aksoy and B. Maurizi.
However, instead of a metric projection and a collinearity relation we use the above mentioned
φ and Γ .