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ITS » Paper and Presentation » Matematika
Posted by tondoindra@gmail.com at 02/03/2016 15:14:43  •  1580 Views


TEOREMA TITIK TETAP PADA RUANG ULTRAMETRIK DISKRIT

Author :
UMMAH, WIHDATUL ( 1209100080 )




ABSTRAK

Suatu ruang metrik dikatakan ruang ultrametrik jika metrik d 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.


ABSTRACT

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.



KeywordsTitik Tetap, Bola Lengkap, Ruang Metrik, Ruang Ultrametrik
 
Subject:  Metric space
Contributor
  1. Sunarsini, S. Si, M. Si
  2. Drs. Sadjidon, M. Si
Date Create: 02/03/2016
Type: Text
Format: PDF
Language: Indonesian
Identifier: ITS-paper-12121150008487
Collection ID: 12121150008487
Call Number: RSMa 514.325 Umm t


Source
Paper And Presentation Of Mathematics RSMa 514.325 Umm t, 2016

Coverage
ITS Community

Rights
Copyright @2016 by ITS Library. This publication is protected by copyright and per obtained from the ITS Library prior to any prohibited reproduction, storage in a re transmission in any form or by any means, electronic, mechanical, photocopying, reco For information regarding permission(s), write to ITS Library




[ Download - Open Access ]

  1.  ITS-paper-40497-ITS-paper-40497-1209100080-paper.pdf - 555 KB
  2.  ITS-paper-40497-ITS-paper-40497-1209100080-presentation.pdf - 1562 KB




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