Araştırma Makalesi

Fixed points of multiplicative contraction mappings on multiplicative metric spaces

Cilt: 2 Sayı: 2 9 Ekim 2017
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Fixed points of multiplicative contraction mappings on multiplicative metric spaces

Öz

In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real numbers R_+ is a complete multiplicative metric space with respect to the multiplicative absolute value function. Furthermore, we introduced concept of multiplicative contraction mapping and proved some fixed point theorems of such mappings on complete multiplicative metric spaces.

Anahtar Kelimeler

Kaynakça

  1. Bashirov, A.E., Kurpınar, E.M. and Ozyapıcı, A. Multiplicative calculus and its applications. J. Math.Analy. App. 337 (2008): 36-48.
  2. Jung Soon-Mo. A Fixed Point Approach to the Stability of Differential Equations y'=F(x,y). Bull of the Malys. Math.Sci. Soc. 33 (2010): 47-56.
  3. Kimura, Y. and Takahashi, W. Weak convergence to common fixed points of countable nonexpansive mappings and its applications. Journal of the Korean Mathematical Society 38 (2001): 1275-1284.
  4. Takahashi, W. Nonlinear Functional Analysis: Fixed point theory and its applications. Yokohama Publishers, 2000.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

9 Ekim 2017

Gönderilme Tarihi

18 Eylül 2017

Kabul Tarihi

25 Eylül 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 2 Sayı: 2

Kaynak Göster

APA
Özavşar, M. (2017). Fixed points of multiplicative contraction mappings on multiplicative metric spaces. Journal of Engineering Technology and Applied Sciences, 2(2), 65-79. https://doi.org/10.30931/jetas.338608
AMA
1.Özavşar M. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. Journal of Engineering Technology and Applied Sciences. 2017;2(2):65-79. doi:10.30931/jetas.338608
Chicago
Özavşar, Muttalip. 2017. “Fixed points of multiplicative contraction mappings on multiplicative metric spaces”. Journal of Engineering Technology and Applied Sciences 2 (2): 65-79. https://doi.org/10.30931/jetas.338608.
EndNote
Özavşar M (01 Ekim 2017) Fixed points of multiplicative contraction mappings on multiplicative metric spaces. Journal of Engineering Technology and Applied Sciences 2 2 65–79.
IEEE
[1]M. Özavşar, “Fixed points of multiplicative contraction mappings on multiplicative metric spaces”, Journal of Engineering Technology and Applied Sciences, c. 2, sy 2, ss. 65–79, Eki. 2017, doi: 10.30931/jetas.338608.
ISNAD
Özavşar, Muttalip. “Fixed points of multiplicative contraction mappings on multiplicative metric spaces”. Journal of Engineering Technology and Applied Sciences 2/2 (01 Ekim 2017): 65-79. https://doi.org/10.30931/jetas.338608.
JAMA
1.Özavşar M. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. Journal of Engineering Technology and Applied Sciences. 2017;2:65–79.
MLA
Özavşar, Muttalip. “Fixed points of multiplicative contraction mappings on multiplicative metric spaces”. Journal of Engineering Technology and Applied Sciences, c. 2, sy 2, Ekim 2017, ss. 65-79, doi:10.30931/jetas.338608.
Vancouver
1.Muttalip Özavşar. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. Journal of Engineering Technology and Applied Sciences. 01 Ekim 2017;2(2):65-79. doi:10.30931/jetas.338608

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