Ketunggalan Titik Tetap Pada Pemetaan Kontraksi ?-? di Ruang Metrik Parsial

Authors

  • Malahayati Malahayati UIN Sunan Kalijaga

DOI:

https://doi.org/10.14421/fourier.2019.81.35-42

Keywords:

titik tetap, kontraksi θ-ϕ, kontraksi tipe Kannan θ-ϕ, ruang metrik parsial

Abstract

Paper ini mempelajari kontraksi ?-? dan kontraksi tipe Kannan ?-? serta beberapa teorema ketunggalan titik tetap  pada ruang metrik parsial. Selanjutnya membandingkan Teorema serupa yang telah dikemukakan oleh peneliti sebelumnya dan membahas contoh sebagai ilustrasi dari teorema yang dibahas.

[In this paper, we study the notions of ?-? contraction and ?-? Kannan Type contraction, and some fixed point theorem on partial metric spaces. The results presented in the paper study and consederation some previously results, we also give an example to illustrate our results.]

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Author Biography

Malahayati Malahayati, UIN Sunan Kalijaga

Program Studi Matematika Fakultas Sains dan Teknologi

References

[1]. Dingwei Zheng, Zhangyong Cai, Pei Wang, New _xed point theorems for ?-? contraction in complete metrik spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), 2662-2670.
[2]. Ishak A, Ferhan S, Hakan S, 2010, Generalized contractions on partial metrik spaces, Elsevier: Topology and its Applications, 2010, 2778-2785.
[3]. S.G. Matthews, Partial Metrik Topology, Research Report 212, Dept. of Computer Science, University of Warwick, 1992.
[4]. S.G. Matthews, Partial metrik topology, General Topology and its Applications, Annals of the New York Academy of Sciences, 728 (1994), 183-197.
[5]. Tao Hu, Dingwei Z, Jingren Z, 2018, Some new Fixed point Theorems on partial metrik spaces. IJMA, Vol 12, 2018 no 7.

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Published

2019-04-30

How to Cite

Malahayati, M. (2019). Ketunggalan Titik Tetap Pada Pemetaan Kontraksi ?-? di Ruang Metrik Parsial. Jurnal Fourier, 8(1), 35–42. https://doi.org/10.14421/fourier.2019.81.35-42

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Section

Articles