Research Article
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Year 2026, Volume: 14 Issue: 1 , 155 - 162 , 30.04.2026
https://izlik.org/JA96JD72KT

Abstract

Project Number

NIL

References

  • [1] A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory and Applications 2012 (2012), 204
  • [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] Felix Hausdorff, Grundz¨uge der Mengenlehre, Leipzig: Veit, (1914), ISBN 978-0-8284-0061-9, Reprinted by Chelsea Publishing Company in 1949.
  • [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] I. A. Bakhtin, The contraction principle in quasimetric spaces, Funct. Anal., 30 (1989), 26-37
  • [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] 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] S. Banach. Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales. Fund. Math. 3:133–181, 1922.
  • [9] S. B. Nadler, Multivalued contraction mappings, Pacific J. Math. 30 (1969) 475-488.
  • [10] Santosh Kumar and Terentius Rugumisa, Fixed point theorem for mappings satisfying implicit relations in multiplicative metric spaces, Malaya Journal of Mathematics, Vol. 8(1) (2020), 216-221, DOI: 10.26637/MJM0801/0036 .
  • [11] S. Matthews, Partial Metric Topology, Papers on General Topology and Applications, Eighth Summer Conference at Queens College, Eds. S. Andima et.al. Annals of the New York Academy of Sciences, 728, 9, 183-197.
  • [12] Terentius Rugumisa and Santosh Kumar, A Fixed Point Theorems for Non-Self Mappings in Multiplicative Metric Spaces,Konuralp Journal of Mathematics, 8(1) (2020), 1–6.

Common Fixed Points for Multivalued Mappings in Multiplicative Metric Spaces

Year 2026, Volume: 14 Issue: 1 , 155 - 162 , 30.04.2026
https://izlik.org/JA96JD72KT

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.

Supporting Institution

None

Project Number

NIL

References

  • [1] A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory and Applications 2012 (2012), 204
  • [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] Felix Hausdorff, Grundz¨uge der Mengenlehre, Leipzig: Veit, (1914), ISBN 978-0-8284-0061-9, Reprinted by Chelsea Publishing Company in 1949.
  • [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] I. A. Bakhtin, The contraction principle in quasimetric spaces, Funct. Anal., 30 (1989), 26-37
  • [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] 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] S. Banach. Sur les op´erations dans les ensembles abstraits et leur application aux ´equations int´egrales. Fund. Math. 3:133–181, 1922.
  • [9] S. B. Nadler, Multivalued contraction mappings, Pacific J. Math. 30 (1969) 475-488.
  • [10] Santosh Kumar and Terentius Rugumisa, Fixed point theorem for mappings satisfying implicit relations in multiplicative metric spaces, Malaya Journal of Mathematics, Vol. 8(1) (2020), 216-221, DOI: 10.26637/MJM0801/0036 .
  • [11] S. Matthews, Partial Metric Topology, Papers on General Topology and Applications, Eighth Summer Conference at Queens College, Eds. S. Andima et.al. Annals of the New York Academy of Sciences, 728, 9, 183-197.
  • [12] Terentius Rugumisa and Santosh Kumar, A Fixed Point Theorems for Non-Self Mappings in Multiplicative Metric Spaces,Konuralp Journal of Mathematics, 8(1) (2020), 1–6.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Terentius Rugumisa

Santosh Kumar 0000-0003-2121-6428

Project Number NIL
Submission Date October 4, 2022
Acceptance Date January 13, 2026
Publication Date April 30, 2026
IZ https://izlik.org/JA96JD72KT
Published in Issue Year 2026 Volume: 14 Issue: 1

Cite

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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