Research Article

Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces

Volume: 14 Number: 1 April 30, 2026
EN

Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces

Abstract

This paper introduces the Hausdorff multiplicative metric, which is then used to develop  two fixed point theorems for  pairs of multivalued self mappings in complete multiplicative metric spaces. We provide an illustrative example of the use of the theorems proved herein.

Keywords

Supporting Institution

None

Project Number

NIL

References

  1. [1] A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory and Applications 2012 (2012), 204
  2. [2] D. Pompeiu, Sur la continuit´e des fonctions de variables complexes (These), Gauthier-Villars, Paris, 1905; Ann. Fac. Sci. de Toulouse, 7 (1905), 264–315.
  3. [3] Felix Hausdorff, Grundz¨uge der Mengenlehre, Leipzig: Veit, (1914), ISBN 978-0-8284-0061-9, Reprinted by Chelsea Publishing Company in 1949.
  4. [4] H. Aydi, M. Abbas and C Vetro,Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces, Topology and its Applications 159 (2012) 3234-3242
  5. [5] I. A. Bakhtin, The contraction principle in quasimetric spaces, Funct. Anal., 30 (1989), 26-37
  6. [6] M. Abbas, B. Ali and Y. Suleiman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, International Journal of Mathematics and Mathematical Sciences, Vol. 2015 (2015), Article ID 218683, 7 pages.
  7. [7] M. O¨ zavs¸ar and A. C. C¸ evikel, Fixed points of multiplicative contraction mappings on multiplicative metric spaces, arXiv, 2012 (2012), 14 pages.
  8. [8] S. Banach. Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales. Fund. Math. 3:133–181, 1922.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 30, 2026

Submission Date

October 4, 2022

Acceptance Date

January 13, 2026

Published in Issue

Year 2026 Volume: 14 Number: 1

APA
Rugumisa, T., & Kumar, S. (2026). Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces. Konuralp Journal of Mathematics, 14(1), 155-162. https://izlik.org/JA96JD72KT
AMA
1.Rugumisa T, Kumar S. Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces. Konuralp J. Math. 2026;14(1):155-162. https://izlik.org/JA96JD72KT
Chicago
Rugumisa, Terentius, and Santosh Kumar. 2026. “Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics 14 (1): 155-62. https://izlik.org/JA96JD72KT.
EndNote
Rugumisa T, Kumar S (April 1, 2026) Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces. Konuralp Journal of Mathematics 14 1 155–162.
IEEE
[1]T. Rugumisa and S. Kumar, “Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces”, Konuralp J. Math., vol. 14, no. 1, pp. 155–162, Apr. 2026, [Online]. Available: https://izlik.org/JA96JD72KT
ISNAD
Rugumisa, Terentius - Kumar, Santosh. “Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics 14/1 (April 1, 2026): 155-162. https://izlik.org/JA96JD72KT.
JAMA
1.Rugumisa T, Kumar S. Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces. Konuralp J. Math. 2026;14:155–162.
MLA
Rugumisa, Terentius, and Santosh Kumar. “Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces”. Konuralp Journal of Mathematics, vol. 14, no. 1, Apr. 2026, pp. 155-62, https://izlik.org/JA96JD72KT.
Vancouver
1.Terentius Rugumisa, Santosh Kumar. Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces. Konuralp J. Math. [Internet]. 2026 Apr. 1;14(1):155-62. Available from: https://izlik.org/JA96JD72KT
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