eprintid: 51275 rev_number: 25 eprint_status: archive userid: 12241 dir: disk0/00/05/12/75 datestamp: 2022-06-24 08:39:42 lastmod: 2022-06-24 08:40:59 status_changed: 2022-06-24 08:39:42 type: thesis metadata_visibility: show contact_email: muh.khabib@uin-suka.ac.id creators_name: Nisa Arofatul Aulia, NIM.: 18106010024 title: BEBERAPA TEOREMA TITIK TETAP DALAM RUANG METRIK-B KONVEKS DAN APLIKASI PERSAMAAN INTEGRAL LINIER FREDHLOM SKRIPSI ispublished: pub subjects: Matematika divisions: jur_mat full_text_status: restricted keywords: Ruang Metrik, Ruang Metrik-b, Struktur Konveks, Algoritma Iterasi Mann, Titik Tetap. note: Pembimbing : Dr. Muhammad Wakhid Musthofa, S.Si., M.Si. dan Aulia Khifah Futhona, M.Sc abstract: One of the important concepts in analysis is the concept of metric space. In this study, we will discuss the concept of b-metric space which is an extension of the metric space concept. And then explained the concept of konveks metric-b space with a konveks structure by expanding Mann’s iteration algorithm. The b-metric space was first introduced by Bachtin in 1989. The b-metric space is a non-empty set and a real number 1 s  and features a function that maps a set of 2 elements from the set pair to a positive real number and meets 3 actions. The Crewzik also generalized the Banach fixed point theorem to the metric space which then introduced the b-metric and then proved the fixed point theorem in it. This study discuss the fixed point singularity theorem in the complete convex bmetric space. One of his proffs in the fixed point nullity theorem using the Banach contraction principle with convex b-metric space and explain the application of the theorem to show the existence date: 2022-04-28 date_type: published pages: 67 institution: UIN SUNAN KALIJAGA YOGYAKARTA department: FAKULTAS SAINS DAN TEKNOLOGI thesis_type: skripsi thesis_name: other citation: Nisa Arofatul Aulia, NIM.: 18106010024 (2022) BEBERAPA TEOREMA TITIK TETAP DALAM RUANG METRIK-B KONVEKS DAN APLIKASI PERSAMAAN INTEGRAL LINIER FREDHLOM SKRIPSI. Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA. document_url: https://digilib.uin-suka.ac.id/id/eprint/51275/1/18106010024_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf document_url: https://digilib.uin-suka.ac.id/id/eprint/51275/2/18106010024_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf