Year 2026,
Volume: 14 Issue: 1
,
155
-
162
,
30.04.2026
Terentius Rugumisa
,
Santosh Kumar
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
Terentius Rugumisa
,
Santosh Kumar
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
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.