eprintid: 43783
rev_number: 10
eprint_status: archive
userid: 12259
dir: disk0/00/04/37/83
datestamp: 2021-09-03 12:28:52
lastmod: 2021-09-03 12:28:52
status_changed: 2021-09-03 12:28:52
type: thesis
metadata_visibility: show
creators_name: NUR FARIDAH, NIM. 17106010039
title: ANALISIS TITIK TETAP PADA PEMETAAN TERDOMINASI DI RUANG METRIK-b SEGI EMPAT LENGKAP DAN PENERAPANNYA PADA GRAF
ispublished: pub
subjects: Matematika
divisions: jur_mat
full_text_status: restricted
keywords: Rectangular b-metric space, Fixed point, Dominated mapping, Graph.
note: Malahayati, S.Si., M.Sc
abstract: The rectangular b-metric space is a non-empty set in which it is completed
by a mapping and satisfies three axioms e.t definitas, symetri, inquality of the
rectangular-b. The b-metric space was first introduced by George (2015) who was
motivated from the b-metric space and the rectangular metric space.
This research discusses the fixed point theorem on the  -dominated
mapping in rectangular b-metric space. The proving process involves sequence
Picards to find a fixed point. The example given by Shoaib (2015) is less precise,
because it does not fulfill all the hypotheses in the main theorem. Therefore, in
this research another example is given which satisfies all the hypotheses in the
main theorem , so that it is expected to provide an understanding of the main
theorems in this study.
In addition, it also discusses the application of the fixed point theorem to
graph theory and its examples. The process of constructing a fixed point in
rectangular b-metric space endowed with directed graph using graph-dominated
mapping.
date: 2021-05-04
date_type: published
pages: 93
institution: FAKULTAS SAINS DAN TEKNOLOGI
department: UIN SUNAN KALIJAGA YOGYAKARTA
thesis_type: skripsi
thesis_name: other
citation:   NUR FARIDAH, NIM. 17106010039  (2021) ANALISIS TITIK TETAP PADA PEMETAAN TERDOMINASI DI RUANG METRIK-b SEGI EMPAT LENGKAP DAN PENERAPANNYA PADA GRAF.  Skripsi thesis, FAKULTAS SAINS DAN TEKNOLOGI.   
document_url: https://digilib.uin-suka.ac.id/id/eprint/43783/1/17106010039_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
document_url: https://digilib.uin-suka.ac.id/id/eprint/43783/2/17106010039_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf