Abstract
In this paper, two important results of Petalas and Vidalis (Proc. Amer. Math. Soc. 118(1993) 819-821) which present positive solutions to the well known problem that neither nonexpansive nor contractive mappings of a complete metric space have a fixed point, are extended to gneralized ultrametric spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 189-196 |
| Number of pages | 8 |
| Journal | Indian Journal of Mathematics |
| Volume | 56 |
| Issue number | 2 |
| Publication status | Published - Aug 2014 |
| Externally published | Yes |
Keywords
- Contractive mappings
- Fixed point
- G-ultrametric space
- Spherical competentness
ASJC Scopus subject areas
- General Mathematics