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All Journal Jurnal Ilmu Dasar Jurnal Sains dan Seni ITS UNEJ e-Proceeding Limits: Journal of Mathematics and Its Applications International Journal of Computing Science and Applied Mathematics

Sunarsini Sunarsini

Departemen Matematika, Fakultas Matematika Komputasi Dan Sains Data, Institut Teknologi Sepuluh Nopember Surabaya

Author-ID : 2779416

Arts Humanities Computer Science & IT Control & Systems Engineering Education Mathematics

Published : 6 Documents Claim Missing Document

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Articles

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

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

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

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

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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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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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

Co-Authors Annisa Rahmita Auda Nuril Zazilah Cahyaningrum Rahmasari Sadjidon - Sadjidon Sadjidon Sie Evan Setiawan Yunus, Mahmud

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