Fixed point theorems for mappings satisfying implicit relations in multiplicative metric spaces
Downloads
DOI:
https://doi.org/10.26637/MJM0801/0036Abstract
Fixed point theorems in metric spaces involving implicit relations were introduced by Popa. We modify such a theorem by Berinde so that it applies to pairs of self mappings in multiplicative metric spaces. An illustrative example is given on the use of the theorem.
Keywords:
Implicit relations, multiplicative metric spaces, common fixed points.Mathematics Subject Classification:
Mathematics- Pages: 216-221
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
M. Abbas, B. Ali, I. Yusuf Suleman, Common fixed points of locally contractive mappings in multiplicative metric spaces with application, I. J. Math. & Math. Sci. Vol., Article ID 218683, 7 pages.
S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équationsintégrales, Fund. Math., (1922), 133-181.
A. Bashirov,E. Karplnara, A. Ozyaplca, Multiplicative calculus and its applications, J. Math. Anal. & Appl., 337 (2008), 36-48.
V. Berinde, Stability of Picard iteration for contractive mappings satisfying an implicit relation, Carpathian J. Math., 27(1) (2011), 13-23.
V. Berinde, Approximating fixed points of implicit almost contractions, Hacet J Math Stat., 40 (2012), 93102.
L. Florack, H. V. Assen, Multiplicative calculus in biomedical image analysis, Journal of Mathematical Imaging and Vision, 42(1) (2012), 64 -75.
Lj. Gajić, V. Rakočević, Pair of non-self mappings and common fixed points, Appl. Math. Comp., 187(2007), 999-1006.
M. Grossman, R. Katz, Non-Newtonian Calculus, Lee Press, Pigeon Cove, MA (1972).
M. Imdad, S. Kumar, Rhoades-type fixed-point theorems for a pair of non-self mappings, Comp. Math. Appl., $46(2003), 919-927$.
Y. Jiang, F. Gu, Common coupled fixed point results in multiplicative metric spaces and applications, J. Nonlinear Sci. Appl., 10(2017), 1881-1895
M. Özavşar, C. Çevikel, Fixed points of multiplicative contraction mappings on multiplicative metric spaces, (2012), ArXiv.
V. Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc.St., Ser. Matem., 7 (1997), 129133.
S. Reich, Some remarks concerning contraction mappings, Canadian Mathematical Bulletin, 14(1971), 121124.
Similar Articles
- M. Regees, L. Merrit Anisha, T. Nicholas, Edge magic and bimagic harmonious labeling of ladder graphs , Malaya Journal of Matematik: Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
