Claim Missing Document
Check
Articles

Found 23 Documents
Search

Eksistensi Titik Tetap Pemetaan C-Kontraktif Diperumum pada Ruang Metrik Parsial Kompleks Ansar, Ahmad; Hikmah, Hikmah
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 6 No 2 (2021): September 2021 - February 2022
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v6i2.2138

Abstract

Tujuan penelitian ini adalah untuk menjelaskan dan membuktikan eksistensi dan ketunggalan titik tetap persekutuan dariĀ  pemetaan C-kontraktif lemah yang diperumum pada ruang metrik parsial kompleks. Dalam artikel ini dipaparkan beberapa teorema terkait ruang metrik kompleks dan ruang metrik parsial kompleks sebagai dasar dalam membuktikan teorema teorema titik tetap. Teorema utama yang diperoleh memperumum beberapa teorema-teorema terdahulu di ruang metrik kompleks yang telah dibuktikan.
Numerical Approach for Solving Fractional Integral Equations using Fixed-point Iterative Scheme Ansar, Ahmad; Fatimah, Meryta Febrilian; Renggawati, Rini
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.6859

Abstract

This paper is aimed to solve fractional integral equations using fixed point iterative approach. We used D-plus iteration process with nonexpansive mapping in uniformly convex Banach spaces. We start by prove weak and strong convergence theorems related for nonexpansive mapping and compare convergence rate of some iterative scheme through numerical example. Furthermore, we use this method to prove the existence and estimate the solution of fractional integral equations. The D-plus iterative method shows the good performance in solve fractional integral equations. We also give some example to illustrate main results.
TITIK TETAP INVERS TRANSFORMASI BILINEAR DAN TRANSFORMASI BILINEAR KONJUGAT Ansar, Ahmad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (545.017 KB) | DOI: 10.30598/barekengvol14iss4pp501-510

Abstract

Bilinear transformation is one of the basic transformations studied in complex function analysis and it has many applications in various fields. This article discusses about the fixed point of bilinear transformation and its properties. The results obtained are used to investigating the fixed point invers bilinear transformation. This article also explains the fixed point of the conjugate bilinear transformation.