Main Article Content

Abstract

In this paper, we first discussed some results about multiplicative metric spaces to support the main results. The aim of this paper is to present fixed point some result that satisfied some generalized of contraction mapping related to multiplicative metric spaces. Furthermore, some examples are given to support results

Keywords

fixed point, multiplicative metric spaces

Article Details

References

  1. A. E. Bashirov, E. M. Kurpinar, and A. Özyapici, “Multiplicative Calculus and Its Applications,” Journal of Mathematical Analysis and Applications, vol. 337, pp. 36–48, 2008, doi: 10.1016/j.jmaa.2007.03.081.
  2. [2] M. Ozavsar and A. C. Cevikel, “Fixed Points of Multiplicative Contraction Mappings on Multiplicative Metric Spaces,” Journal of Engineering Technology and Applied Sciences, vol. 2, no. 2, pp. 65–79, 2017, doi: 10.30931/jetas.338608.
  3. [3] S. Shukla, “Some Critical Remarks on The Multiplicative Metric Spaces and Fixed Point Results,” J. Adv. Math. Stud., vol. 9, no. 3, pp. 454–458, 2016.
  4. [4] R. P. Agarwal, E. Karapınar, and B. Samet, “An Essential Remark on Fixed Point Results on Multiplicative Metric Spaces,” Fixed Point Theory and Applications, vol. 2016, no. 21, pp. 1–4, 2016, doi: 10.1186/s13663-016-0506-7.
  5. [5] T. Došenović and S. Radenović, “Multiplicative Metric Spaces and Contractions of Rational Type,” Advances in the Theory of Nonlinear Analysis and its Applications, vol. 2, no. 4, pp. 195–201, 2018.
  6. [6] A. A. N. Abdou, “Fixed Point Theorems for Generalized Contraction Mappings on Multiplicative Metric Spaces,” Journal of Nonlinear Science and Applications, vol. 9, pp. 2347–2363, 2016, doi: 10.24193/subbmath.2017.4.08.
  7. [7] Shin Min Kang, Parveen Kumar, Sanjay Kumar, Poonam Nagpal, and Sudhir Kumar Garg, “Common Fixed Points for Compatible Mappings and Its Variants in Multiplicative Metric Spaces,” International Journal of Pure and Applied Mathematics, vol. 102, no. 2, pp. 383–406, 2015, doi: http://dx.doi.org/10.12732/ijpam.v102i2.14.
  8. [8] X. He, M. Song, and D. Chen, “Common Fixed Points for Weak Commutative Mappings on a Multiplicative Metric Space,” Fixed Point Theory and Applications, vol. 2014, no. 48, pp. 1–9, 2014, doi: 10.1186/1687-1812-2014-48.
  9. [9] A. Gebre, K. Koyas, and A. Girma, “A Common Fixed Point Theorem for Generalized-Weakly Contractive Mappings in Multiplicative Metric Spaces,” Advances in the Theory of Nonlinear Analysis and its Applications, vol. 4, no. 1, pp. 1–13, 2020.
  10. [10] M. Abbas, B. Ali, and Y. I. Suleiman, “Common Fixed Points of Locally Ccontractive Mappings in Multiplicative Metric Spaces with Application,” International Journal of Mathematics and Mathematical Sciences, vol. 2015, 2015, doi: http://dx.doi.org/10.1155/2015/218683.
  11. [11] A. Aghajani, M. Abbas, and J. R. Roshan, “Common Fixed Point of Generalized Weak Contractive Mappings in Partially Ordered b-Metric Spaces,” Mathematica Slovaca, vol. 64, no. 4, pp. 941–960, 2014, doi: 10.2478/s12175-014-0250-6.
  12. [12] Muhammad Sarwar and Badshah-e-Rome, “Some Unique Fixed Point Theorems in Multiplicative Metric Space”.
  13. [13] M. Abbas, M. de La Sen, and T. Nazir, “Common Fixed Points of Generalized Rational Cocyclic Mappings in Multiplicative Metric Spaces,” Discrete Dynamics in Nature and Society, vol. 2015, 2015, doi: 10.1155/2015/147303.