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Year 2020, Volume: 8 Issue: 1, 1 - 6, 15.04.2020

Abstract

References

  • [1] M. Abbas, B. Ali, Y. Suleiman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, International Journal of Mathematics and Mathematical Sciences, Vol. 2015, Article ID 218683, 7 pages.
  • [2] A. E. Bashirov, E. M. Kurplnara, A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008), 36-48.
  • [3] M. Grossman, R. Katz. Non-Newtonian Calculus, Pigeon Cove, Lee Press, Massachusats, 1972.
  • [4] H. Hxiaoju , M. Song, D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space. Fixed Point Theory and Applications 2014, 2014:48.
  • [5] M. ÖzavŞar, A. C. Çevikel, Fixed points of multiplicative contraction mappings on multiplicative metric spaces, arXiv, 2012 (2012), 14 pages.
  • [6] N. Assad, W. Kirk, Fixed point theorems for set-valued mappings of contractive type, Pacific J. Math., Vol. 43, 1972, pp. 553-562.
  • [7] Q. H. Khan, M. Imdad, Coincidence and common fixed point theorems in a multiplicative metric spaces, Adv. Fixed Point Theory, 6 (2016), No. 1, 1-9.
  • [8] T. Rugumisa, S. Kumar, Unique common fixed points for pairs of multivalued mappings in partial metric spaces, Adv. Fixed Point Theory, 7 (2017), No. 3, 391-412.
  • [9] X. He, M. Song, D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed point Theory Appl. 2014 (2014), Article ID 48.

A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces

Year 2020, Volume: 8 Issue: 1, 1 - 6, 15.04.2020

Abstract

In this paper, we define the concept of metrical convexity in the context of multiplicative metric spaces. Using this, we then prove a fixed point theorem for non-self mappings in multiplicative metric spaces. Furthermore, we give an illustrative case on the utilization of the hypothesis.


References

  • [1] M. Abbas, B. Ali, Y. Suleiman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, International Journal of Mathematics and Mathematical Sciences, Vol. 2015, Article ID 218683, 7 pages.
  • [2] A. E. Bashirov, E. M. Kurplnara, A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl. 337 (2008), 36-48.
  • [3] M. Grossman, R. Katz. Non-Newtonian Calculus, Pigeon Cove, Lee Press, Massachusats, 1972.
  • [4] H. Hxiaoju , M. Song, D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space. Fixed Point Theory and Applications 2014, 2014:48.
  • [5] M. ÖzavŞar, A. C. Çevikel, Fixed points of multiplicative contraction mappings on multiplicative metric spaces, arXiv, 2012 (2012), 14 pages.
  • [6] N. Assad, W. Kirk, Fixed point theorems for set-valued mappings of contractive type, Pacific J. Math., Vol. 43, 1972, pp. 553-562.
  • [7] Q. H. Khan, M. Imdad, Coincidence and common fixed point theorems in a multiplicative metric spaces, Adv. Fixed Point Theory, 6 (2016), No. 1, 1-9.
  • [8] T. Rugumisa, S. Kumar, Unique common fixed points for pairs of multivalued mappings in partial metric spaces, Adv. Fixed Point Theory, 7 (2017), No. 3, 391-412.
  • [9] X. He, M. Song, D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed point Theory Appl. 2014 (2014), Article ID 48.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Terentius Rugumisa This is me

Santosh Kumar

Publication Date April 15, 2020
Submission Date April 24, 2018
Acceptance Date February 24, 2020
Published in Issue Year 2020 Volume: 8 Issue: 1

Cite

APA Rugumisa, T., & Kumar, S. (2020). A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp Journal of Mathematics, 8(1), 1-6.
AMA Rugumisa T, Kumar S. A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp J. Math. April 2020;8(1):1-6.
Chicago Rugumisa, Terentius, and Santosh Kumar. “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics 8, no. 1 (April 2020): 1-6.
EndNote Rugumisa T, Kumar S (April 1, 2020) A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp Journal of Mathematics 8 1 1–6.
IEEE T. Rugumisa and S. Kumar, “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”, Konuralp J. Math., vol. 8, no. 1, pp. 1–6, 2020.
ISNAD Rugumisa, Terentius - Kumar, Santosh. “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics 8/1 (April 2020), 1-6.
JAMA Rugumisa T, Kumar S. A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp J. Math. 2020;8:1–6.
MLA Rugumisa, Terentius and Santosh Kumar. “A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics, vol. 8, no. 1, 2020, pp. 1-6.
Vancouver Rugumisa T, Kumar S. A Fixed Point Theorem for Non-Self Mappings in Multiplicative Metric Spaces. Konuralp J. Math. 2020;8(1):1-6.
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