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.
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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.
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
