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All Journal Jurnal Sains dan Seni ITS UNEJ e-Proceeding Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang
Sunarsini Sunarsini
Departemen Matematika, Fakultas Matematika Komputasi Dan Sains Data, Institut Teknologi Sepuluh Nopember Surabaya
Arts Humanities Computer Science & IT Education Mathematics

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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)
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.
BEBERAPA SIFAT ALJABAR DAN ARITMATIK PADA NORMA CONE DAN HASIL KALI DALAM CONE Sadjidon Sadjidon; Sunarsini Sunarsini
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

Pada paper ini dipelajari tentang ruang bernorma cone dan ruang hasil kali dalam cone, khususnya pada ruang . Selanjutnya dikonstruksi dan didefinisikan multiplication pada norma cone dan hasil kali dalam cone sehingga diperoleh beberapa sifat aljabar dan aritmatiknya. Keywords: Ruang bernorma cone, Ruang hasil kali dalam S-cone, sifat aljabar dan aritmatik pada norma cone, hasil kali dalam cone
TEOREMA TITIK TETAP UNTUK DUA PEMETAAN DI RUANG METRIK CONE RECTANGULAR Sunarsini Sunarsini; Sadjidon Sadjidon; Sie Evan Setiawan
UNEJ e-Proceeding 2022: E-Prosiding Seminar Nasional Matematika, Geometri, Statistika, dan Komputasi (SeNa-MaGeStiK)
Publisher : UPT Penerbitan Universitas Jember

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Abstract

Azam introduced the concept of a rectangular cone metric space in 2009. By adding the rectangular property to the cone metric function, we get the definition of a rectangular cone metric space. The purpose of this paper is to discuss the development of a fixed point Banach contraction mapping in a rectangular cone metric space. In particular, we prove the Banach Fixed Point Theorem for two self-mappings on the space with an alternative proof. Furthermore, we provide related examples to make it easier to understand the theorem. Keywords: Fixed point Banach, rectangular cone metric space, two-self mappings
Monitoring water quality using control charts at PDAM Surya Sembada Surabaya Valeriana Lukitosari; Sunarsini Sunarsini; Wahyu Fistia Doctorina; Laksmi Prita Wardhani; Endah Rokhmati Merdika Putri
Abdimas: Jurnal Pengabdian Masyarakat Universitas Merdeka Malang Vol 8, No 1 (2023): February 2023
Publisher : University of Merdeka Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26905/abdimas.v1i1.8828

Abstract

Statistical quality control using control charts is an easy-to-implement method to improve quality. Improvements in the quality of products and services are continuously implemented to meet consumer needs. Products and services must maintain the desired quality with as few defects as possible. Variations in products and services are naturally created to meet needs. Unintentional variation, but the cause can be found. Control charts can be used to monitor production; particularly serving as an early warning index of processes that are potentially out of control. To keep production under control, different control charts are prepared for different cases, created by combining upper and lower control limits. Points plotted on a graph can reveal certain patterns, which in turn allow the user to get specific information. Information on water production is very important in PDAM because water is the main product that meets the needs for the survival of humans, animals, plants, and various other needs. The supply of clean water that meets the requirements of quality standards is always pursued by PDAM Surya Sembada Surabaya. The Statistical control chart training will increase productivity and improve water quality, not only in terms of chemical, physical and biological quality. Good water quality will add value to the trust and community of PDAM. 
Construction of Cone 2-Norm Associated with S-Cone Inner Product Sadjidon Sadjidon; Mahmud Yunus; Sunarsini Sunarsini; Lukman Hanafi
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 9, No 2 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v9i2.18364

Abstract

This paper is devoted to discussing an inner product in cone normed spaces and constructing S-cone inner products to define S-cone inner product spaces, especially in ℓ2-space. Moreover, we also construct cone 2-norm spaces associated with S-cone inner product spaces.
Co-Authors Auda Nuril Zazilah Cahyaningrum Rahmasari Endah Rokhmati Merdika Putri Laksmi Prita Wardhani Lukman Hanafi Sadjidon Sadjidon Sadjidon Sadjidon Sie Evan Setiawan Valeriana Lukitosari wahyu fistia doctorina Yunus, Mahmud