BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN KONTINU DI RUANG METRIK KOMPAK

Authors

  • Ahmad Khairul Umam Universitas Billfath
  • Ahmad Isro'il Universitas Billfath
  • Pukky Tetralian B. N. Universitas Billfath

DOI:

https://doi.org/10.55273/jms.v1i2.114

Keywords:

Fixed Point, Kannan’s Mapping, Compact Metric Space

Abstract

The fixed point principle is very important in solving linear equation, ordinary differential equation, partial differential equation, and integral equation. The famous fixed point theorem is Banach's fixed point theorem. Kannan's fixed point theorem is generalisation of Banach's fixed point theorem. This article discusses some theorems that generalisations from Kannan's fixed point theorem with continuity mapping. Some theorems are discussed in this article guarantee the existence and uniqueness of a fixed point.

References

Bhardwaj, R., Rajput S. S., Choudhary, S., & Yadava, R. N. (2008). Some Fixed Point Theorems in Compact Metric Spaces. Int. Journal of Math. Analysis, 2(12), 551-555.

Go ?rnicki, J. (2017). Fixed Point Theorems for Kannan Type Mappings. Journal of Fixed Point Theory and Applications, 19, 2147.

Kannan, R. (1969). Some Results on Fixed Points - II. The American Mathematical Monthly, 76, 405-408.

Kreyszig, E. (1978). Introductory Functional Analysis with Aplication. John Wiley and Sons, Inc. Canada.

Muslikh, M. (2012). Analisis Real. Malang. UB Press.

Takashi, S., & Hiroyuki, Y. (2010). Introduction to Mathematical Science Model. Tokyo. Baifukan.

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Published

2021-08-01

How to Cite

Khairul Umam, A. ., Isro’il, A. ., & Tetralian B. N., P. . (2021). BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN KONTINU DI RUANG METRIK KOMPAK. Jurnal Matematika Dan Sains (JMS), 1(2), 81–86. https://doi.org/10.55273/jms.v1i2.114