Konvergensi Barisan dan Teorema Titik Tetap pada Ruang b-Metrik

Cahyaningrum Rahmasari
Submission Date: 2016-07-28 13:51:14
Accepted Date: 2016-11-23 18:14:55

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)


Keywords


Ruang Metrik; Ruang b-Metrik; Konvergensi Barisan; Teorema Titik Tetap

References


Dubey, A.K., Shukla, R., Dubey, R.P., 2014. “Some Fixed Point Results in b-Metric Spaces”. Asian Journal of Mathematics and Applications 2014. 0147.

Alghamdi, M.A, Hussain, N., Salimi, P., 2013. “Fixed Point and Coupled Fixed Point Theorems on b-Metric-like Space”. Journal of Inequalities and Application 1. 402.

Yunus, M. 2005. Modul Ajar Pengantar Analisis Fungsional. Surabaya: Jurusan Matematika ITS.

Bartle, R.G. Sherbet, D.R. 2010. Introduction to Real Analysis (Fourth Edition). John Wiley and Sons, Inc., United States of America.

Kreyszig, E. 1978. Introductory Fungsional Analysis with Applications. New York: John Wiley & Sons. Inc.

Amini Harandi, A. 2012. “Metric-like Spaces, Partial Metric Space and Fixed Points” Fixed Point Theory Application 1. 204.

Kir, M., Kiziltunc, H. 2013. “On Some Well Known Fixed Point Theorems in b-Metric Spaces”. Turkish Journal of Analysis and Number Theory 1. 13-16.

Czerwik, S. 1993. “Contaction Mappings in b-metric spaces”. Acta Math. Inform. Univ. Ostrav. 1, 5-11.

Bakhtin, IA. 1989. “The Contraction Mapping Principle in Quasimetric spaces”. Functional Analysis, vol 30. 26-37.


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