Research Article
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Year 2017, Volume: 2 Issue: 2, 65 - 79, 09.10.2017
https://doi.org/10.30931/jetas.338608

Abstract

References

  • Bashirov, A.E., Kurpınar, E.M. and Ozyapıcı, A. Multiplicative calculus and its applications. J. Math.Analy. App. 337 (2008): 36-48.
  • 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.
  • 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.
  • Takahashi, W. Nonlinear Functional Analysis: Fixed point theory and its applications. Yokohama Publishers, 2000.

Fixed points of multiplicative contraction mappings on multiplicative metric spaces

Year 2017, Volume: 2 Issue: 2, 65 - 79, 09.10.2017
https://doi.org/10.30931/jetas.338608

Abstract

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.

References

  • Bashirov, A.E., Kurpınar, E.M. and Ozyapıcı, A. Multiplicative calculus and its applications. J. Math.Analy. App. 337 (2008): 36-48.
  • 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.
  • 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.
  • Takahashi, W. Nonlinear Functional Analysis: Fixed point theory and its applications. Yokohama Publishers, 2000.
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Muttalip Özavşar

Publication Date October 9, 2017
Published in Issue Year 2017 Volume: 2 Issue: 2

Cite

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 Özavşar M. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. JETAS. October 2017;2(2):65-79. doi:10.30931/jetas.338608
Chicago Özavşar, Muttalip. “Fixed Points of Multiplicative Contraction Mappings on Multiplicative Metric Spaces”. Journal of Engineering Technology and Applied Sciences 2, no. 2 (October 2017): 65-79. https://doi.org/10.30931/jetas.338608.
EndNote Özavşar M (October 1, 2017) Fixed points of multiplicative contraction mappings on multiplicative metric spaces. Journal of Engineering Technology and Applied Sciences 2 2 65–79.
IEEE M. Özavşar, “Fixed points of multiplicative contraction mappings on multiplicative metric spaces”, JETAS, vol. 2, no. 2, pp. 65–79, 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 (October 2017), 65-79. https://doi.org/10.30931/jetas.338608.
JAMA Özavşar M. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. JETAS. 2017;2:65–79.
MLA Özavşar, Muttalip. “Fixed Points of Multiplicative Contraction Mappings on Multiplicative Metric Spaces”. Journal of Engineering Technology and Applied Sciences, vol. 2, no. 2, 2017, pp. 65-79, doi:10.30931/jetas.338608.
Vancouver Özavşar M. Fixed points of multiplicative contraction mappings on multiplicative metric spaces. JETAS. 2017;2(2):65-79.