Ummah, Wihdatul (2014) Teorema Titik Tetap Pada Ruang Ultrametrik Diskrit. Undergraduate thesis, Institut Teknologi Sepuluh Nopember Surabaya.
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Abstract
Suatu ruang metrik dikatakan ruang ultrametrik jika
metrik memiliki sifat ketaksamaan segitiga kuat;
. Jika setiap
koleksi penyusutan dari bola pada X memiliki irisan tak
kosong, maka ruang ultrametrik disebut ruang
ultrametrik bola lengkap. Dalam tugas akhir ini dikaji
mengenai teorema titik tetap pemetaan di ruang ultrametrik
bola lengkap khususnya pada ruang ultrametrik diskrit.
Teorema ini menunjukkan bahwa titik tetap dari pemetaan
satu-satu pada ruang ultrametrik itu ada dan tunggal
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A metric spaces is called ultrametric space if the
metric satisfies a strong triangle inequality; ,
.If every shrinking collection
of balls in has a non empty intersection, than an ultrametric
space is said spherically complete ultrametric space. In
this final project has been studied about fixed point theorem
for single map on discrit ultrametric space. This theorem
suppose that fixed point from a single map is exist and
unique
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Additional Information: | RSMa 514.325 Umm t |
| Uncontrolled Keywords: | Titik Tetap, Bola Lengkap, Ruang Metrik, Ruang Ultrametrik |
| Subjects: | Q Science > QA Mathematics > QA611.28 Metric spaces |
| Divisions: | Faculty of Mathematics and Science > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | EKO BUDI RAHARJO |
| Date Deposited: | 05 Nov 2020 02:52 |
| Last Modified: | 05 Nov 2020 02:52 |
| URI: | http://repository.its.ac.id/id/eprint/82229 |
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