Teorema Titik Tetap Pada Ruang Ultrametrik Diskrit

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 ============================================================================================ 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: https://repository.its.ac.id/id/eprint/82229

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