EN
A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces
Öz
In this paper, we introduced generalized weakly contractive mappings, established a common fixed point result and proved the
existence and uniqueness of a common fixed point. Finally, we provide
an example in support of our main finding.
existence and uniqueness of a common fixed point. Finally, we provide
an example in support of our main finding.
Anahtar Kelimeler
Destekleyen Kurum
Jimma University
Teşekkür
Jimma University is gratefully acknowledged for material support.
Kaynakça
- [1] M. Abbas, B. Ali, Yi Suleiman, Common fixed points of locally contractive mappingsin multiplicative metric spaces with applications, Int. J., Math. Math. Sci. 2015, Article ID 218683, (2015).
- [2] M. Abbas, M. De La Sen, T. Nazir, Common fixed points of generalized rationaltype cocyclic mappings in multiplicative metric spaces, Discrete Dyn. Nat. Soc. 2015,Article Id 532725, (2015).
- [3] Y.I. Alber, and S. Guerre-Delabriere, Principle of weakly contractive maps in Hilbertspace, New Results in Operator Theory, Advances and Applications.I. Gohberg andY. Lyubich, Eds., 98, 7 − 22, (1997).
- [4] S. Banach, Sur les opérations dans les ensembles abstraits et leur application auxéquations intégrales, Fundam. Math.,3, 133-181, (1922).
- [5] A. Bashirov, E. Kurpinar, A. Ozyapici, Multiplicative calculus and its applications, J.Math. Anal. Appl. 337 (1), 36-48, (2008).
- [6] A.E. Bashirov, E. Misirli, Y. Tandogdu, and A. Ozyapici, On modeling with multiplicative differential equations, Applied Mathematics-A Journal of Chinese Universities, 26, 425 − 438, (2011)
- [7] S.K. Chatterjea, Fixed point theorems, Computes.Rend. Acad, Bulgaria Sci. 25, 727-730, (1972).
- [8] S. Cho, Fixed point theorems for generalized weakly contractive mappings in metricspaces with applications, Fixed Point Theory and Applications, (2018).
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Mart 2020
Gönderilme Tarihi
6 Haziran 2019
Kabul Tarihi
12 Kasım 2019
Yayımlandığı Sayı
Yıl 2020 Cilt: 4 Sayı: 1
APA
Koyas, K., Gebre, A., & Kassaye, A. (2020). A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces. Advances in the Theory of Nonlinear Analysis and its Application, 4(1), 1-13. https://doi.org/10.31197/atnaa.573903
AMA
1.Koyas K, Gebre A, Kassaye A. A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces. ATNAA. 2020;4(1):1-13. doi:10.31197/atnaa.573903
Chicago
Koyas, Kidane, Alemayehu Gebre, ve Aynalem Kassaye. 2020. “A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces”. Advances in the Theory of Nonlinear Analysis and its Application 4 (1): 1-13. https://doi.org/10.31197/atnaa.573903.
EndNote
Koyas K, Gebre A, Kassaye A (01 Mart 2020) A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces. Advances in the Theory of Nonlinear Analysis and its Application 4 1 1–13.
IEEE
[1]K. Koyas, A. Gebre, ve A. Kassaye, “A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces”, ATNAA, c. 4, sy 1, ss. 1–13, Mar. 2020, doi: 10.31197/atnaa.573903.
ISNAD
Koyas, Kidane - Gebre, Alemayehu - Kassaye, Aynalem. “A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces”. Advances in the Theory of Nonlinear Analysis and its Application 4/1 (01 Mart 2020): 1-13. https://doi.org/10.31197/atnaa.573903.
JAMA
1.Koyas K, Gebre A, Kassaye A. A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces. ATNAA. 2020;4:1–13.
MLA
Koyas, Kidane, vd. “A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces”. Advances in the Theory of Nonlinear Analysis and its Application, c. 4, sy 1, Mart 2020, ss. 1-13, doi:10.31197/atnaa.573903.
Vancouver
1.Kidane Koyas, Alemayehu Gebre, Aynalem Kassaye. A Common Fixed Point Theorem for Generalized Weakly Contractive Mappings in Multiplicative Metric Spaces. ATNAA. 01 Mart 2020;4(1):1-13. doi:10.31197/atnaa.573903