Article Per Year (5 Year)
p-Index From 2019 - 2024
0.23
P-Index
This Author published in this journals
All Journal Jurnal Ilmu Dasar Jurnal Sains dan Seni ITS Gamatika Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics
Sadjidon -
Departemen Matematika, Fakultas Matematika Komputasi Dan Sains Data, Institut Teknologi Sepuluh Nopember Surabaya
Arts Humanities Computer Science & IT Control & Systems Engineering Education Mathematics Other

Published : 7 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 7 Documents
Search

 1 
KAJIAN KONVERGENSI BARISAN RUANG NORM-(n-1) DENGAN Masruroh, Faridatul; Apriliani, Erna; -, Sadjidon
Gamatika Vol 1, No 2: Jurnal Gagasan Matematika Dan Informatika
Publisher : Gamatika

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Abstrak Penjelasan mengenai ruang norm telah banyak dikaji oleh para matematikawan. Baik kajian dalam ruang norm, ruang norm-2, dan ruang norm-n. Kajian tentang ortogonalitas dalam ruang norm diilhami oleh Ruang hasil kali dalam. Definisi ortogonalitas dalam ruang norm juga telah banyak dikembangkan oleh para matematikawan. Pada paper ini, dengan menggunakan aspek ortogonalitas dijelaskan bahwa jika terdefinisi suatu ruang norm-n maka ruang norm-(n-1) terdefinisi dengan      n ≥ 2. Berikutnya dikaji konvergensi barisan ruang norm-(n-1). Kata kunci: Ortogonalitas, Ruang norm-n, Ruang norm-(n-1)   Abstract A description of the space norm has been widely studied by mathematicians. Both studies within the norm, a norm-2, and a norm-n. Studies on orthogonality in space norm is inspired by the inner product space. The definition of orthogonality in space norm also been developed by mathematicians. In this paper, by using the orthogonality aspects explained that when defining a space of norm-n the space norm-(n-1) defined by n ≥ 2. Next examined convergence sequence space norm-(n-1).   Keywords: Orthogonality, norm-n Space, Space norm-(n-1)  
KAJIAN KONVERGENSI BARISAN RUANG NORM-(n-1) DENGAN Masruroh, Faridatul; Apriliani, Erna; -, Sadjidon
Gamatika Vol 1, No 2 (2011): Jurnal Gagasan Matematika Dan Informatika
Publisher : Gamatika

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Abstrak Penjelasan mengenai ruang norm telah banyak dikaji oleh para matematikawan. Baik kajian dalam ruang norm, ruang norm-2, dan ruang norm-n. Kajian tentang ortogonalitas dalam ruang norm diilhami oleh Ruang hasil kali dalam. Definisi ortogonalitas dalam ruang norm juga telah banyak dikembangkan oleh para matematikawan. Pada paper ini, dengan menggunakan aspek ortogonalitas dijelaskan bahwa jika terdefinisi suatu ruang norm-n maka ruang norm-(n-1) terdefinisi dengan      n ≥ 2. Berikutnya dikaji konvergensi barisan ruang norm-(n-1). Kata kunci: Ortogonalitas, Ruang norm-n, Ruang norm-(n-1)   Abstract A description of the space norm has been widely studied by mathematicians. Both studies within the norm, a norm-2, and a norm-n. Studies on orthogonality in space norm is inspired by the inner product space. The definition of orthogonality in space norm also been developed by mathematicians. In this paper, by using the orthogonality aspects explained that when defining a space of norm-n the space norm-(n-1) defined by n ≥ 2. Next examined convergence sequence space norm-(n-1).   Keywords: Orthogonality, norm-n Space, Space norm-(n-1)  
KAJIAN KONVERGENSI BARISAN RUANG NORM-(n-1) DENGAN Masruroh, Faridatul; Apriliani, Erna; -, Sadjidon
Gamatika Vol 1, No 2 (2011): Jurnal Gagasan Matematika Dan Informatika
Publisher : Gamatika

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Abstrak Penjelasan mengenai ruang norm telah banyak dikaji oleh para matematikawan. Baik kajian dalam ruang norm, ruang norm-2, dan ruang norm-n. Kajian tentang ortogonalitas dalam ruang norm diilhami oleh Ruang hasil kali dalam. Definisi ortogonalitas dalam ruang norm juga telah banyak dikembangkan oleh para matematikawan. Pada paper ini, dengan menggunakan aspek ortogonalitas dijelaskan bahwa jika terdefinisi suatu ruang norm-n maka ruang norm-(n-1) terdefinisi dengan      n ≥ 2. Berikutnya dikaji konvergensi barisan ruang norm-(n-1). Kata kunci: Ortogonalitas, Ruang norm-n, Ruang norm-(n-1)   Abstract A description of the space norm has been widely studied by mathematicians. Both studies within the norm, a norm-2, and a norm-n. Studies on orthogonality in space norm is inspired by the inner product space. The definition of orthogonality in space norm also been developed by mathematicians. In this paper, by using the orthogonality aspects explained that when defining a space of norm-n the space norm-(n-1) defined by n ≥ 2. Next examined convergence sequence space norm-(n-1).   Keywords: Orthogonality, norm-n Space, Space norm-(n-1)  
Konvergensi Barisan dan Teorema Titik Tetap pada Ruang b-Metrik Cahyaningrum Rahmasari; Sunarsini Sunarsini; Sadjidon Sadjidon
Jurnal Sains dan Seni ITS Vol 5, No 2 (2016)
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat (LPPM), ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (426.089 KB) | DOI: 10.12962/j23373520.v5i2.18651

Abstract

Dalam paper ini, dibahas mengenai ruang b-metrik yang merupakan generalisasi dari ruang metrik. Bahasan yang menarik untuk dikaji dalam ruang b-metrik diantaranya adalah mengenai konvergensi barisan serta teorema titik tetap. Untuk mendapatkan teorema titik tetap dalam ruang b-metrik, perlu ditunjukkan bahwa ruang b-metrik tersebut lengkap. Pada paper ini, ditunjukkan bahwa ruang b-metrik l_(1/2)  merupakan ruang b-metrik yang lengkap, sehingga didapatkan pula teorema titik tetap dalam ruang b-metrik l_(1/2)
Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space S. Sunarsini; S. Sadjidon; Annisa Rahmita
Jurnal ILMU DASAR Vol 20 No 1 (2019)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (409.923 KB) | DOI: 10.19184/jid.v20i1.6782

Abstract

In the article the concept of metric space could be expanded, one of which is a partial metric space. In the metric space, the distance of a point to itself is equal to zero, while in the partial metric space need not be equal to zero.The concept of partial metric space is used to modify Banach's contraction principle. In this paper, we discuss weakly contractive mapping and weakly Kannan mapping which are extensions of Banach's contraction principle to partial metric space together some related examples. Additionally, we discuss someLemmas which are shows an analogy between Cauchy sequences in partial metric space with Cauchy sequences in metric space and analogy between the complete metric space and the complete partial metric space. Keywords: Cellulose metric space, partial metric space, weakly contraction mapping, weakly Kannan mapping.
PEMETAAN KONTRAKTIF PADA RUANG b-METRIK CONE R BERNILAI R^2 Sunarsini Sunarsini; Mahmud Yunus; S Sadjidon; Auda Nuril Zazilah
Limits: Journal of Mathematics and Its Applications Vol 13, No 2 (2016)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (858.146 KB) | DOI: 10.12962/j1829605X.v13i2.1930

Abstract

Ruang b–metrik cone merupakan perluasan dari ruang b–metrik dan ruang metrik cone. Pada paper ini, diselidiki eksistensi dan sifat ketunggalan titik tetap pemetaan kontraktif pada ruang b–metrik cone yang lengkap. Selanjutnya, dikaji fungsi b-metrik pada ruang b-metrik cone dan dibuktikan beberapa teorema ekivalensi antara kedua ruang tersebut dengan disertai beberapa contoh terkait, khususnya ruang b-metrik cone bernilai 
Construction of Convergent Sequence in Cone 2-Normed Spaces Sadjidon Sadjidon; Mahmud Yunus; Sunarsini Sunarsini
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 1, No 1 (2015)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (46.168 KB) | DOI: 10.12962/j24775401.v1i1.1475

Abstract

We introduce an idea of convergent sequence in a cone 2-normed space. We show that the convergence in 2-normed spaces using the definition of 2-norm by considering its dual space. Then we construct the convergence in cone 2-normed space, particularly for l2-space.
Co-Authors Annisa Rahmita Auda Nuril Zazilah Cahyaningrum Rahmasari Erna Apriliani Faridatul Masruroh Sunarsini Sunarsini Yunus, Mahmud