EN
Geraghty type contraction mappings on Branciari b-metric spaces
Öz
In this paper fixed points of α-admissible contraction mappings of Geraghty type defined on Branciari bmetric spaces are studied. Existence and uniqueness theorems for these types of mappings of are proved. Some consequences of these theorems are given and specific examples are presented.
Anahtar Kelimeler
Kaynakça
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- I. A. Bakhtin, The contraction mapping principle in quasimetric spaces, Functional Analysis, vol. 30, 26-37, (1989). 1 1.2
- A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized matric spaces, Publ. Math. Debrecen, Vol. 57, 31-37, (2000).
- S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostrav., Vol. 1, 5U11, (1993).
- R. George, S. Radenovic, K. P. Reshma, S. Shukla, Rectangular b-metric spaces and contraction principle, J. Nonlinear Sci. Appl., Vol. 8, 1005U1013, (2015).
- M. Geraghty, On contractive mappings, Proceedings of American Math. Soc., vol. 40, 604-608, (1973).
- H. Huang, L. Paunovic and S. Radenovic, On some new fixed point results for rational Geraghty contractive mappings in ordered b-metric spaces, J. Nonlinear Science and Appl., vol.8, 800-807, (2015).
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
20 Aralık 2017
Gönderilme Tarihi
22 Ağustos 2017
Kabul Tarihi
9 Aralık 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 1 Sayı: 2
APA
M. Erhan, İ. (2017). Geraghty type contraction mappings on Branciari b-metric spaces. Advances in the Theory of Nonlinear Analysis and its Application, 1(2), 147-160. https://doi.org/10.31197/atnaa.379097
AMA
1.M. Erhan İ. Geraghty type contraction mappings on Branciari b-metric spaces. ATNAA. 2017;1(2):147-160. doi:10.31197/atnaa.379097
Chicago
M. Erhan, İnci. 2017. “Geraghty type contraction mappings on Branciari b-metric spaces”. Advances in the Theory of Nonlinear Analysis and its Application 1 (2): 147-60. https://doi.org/10.31197/atnaa.379097.
EndNote
M. Erhan İ (01 Aralık 2017) Geraghty type contraction mappings on Branciari b-metric spaces. Advances in the Theory of Nonlinear Analysis and its Application 1 2 147–160.
IEEE
[1]İ. M. Erhan, “Geraghty type contraction mappings on Branciari b-metric spaces”, ATNAA, c. 1, sy 2, ss. 147–160, Ara. 2017, doi: 10.31197/atnaa.379097.
ISNAD
M. Erhan, İnci. “Geraghty type contraction mappings on Branciari b-metric spaces”. Advances in the Theory of Nonlinear Analysis and its Application 1/2 (01 Aralık 2017): 147-160. https://doi.org/10.31197/atnaa.379097.
JAMA
1.M. Erhan İ. Geraghty type contraction mappings on Branciari b-metric spaces. ATNAA. 2017;1:147–160.
MLA
M. Erhan, İnci. “Geraghty type contraction mappings on Branciari b-metric spaces”. Advances in the Theory of Nonlinear Analysis and its Application, c. 1, sy 2, Aralık 2017, ss. 147-60, doi:10.31197/atnaa.379097.
Vancouver
1.İnci M. Erhan. Geraghty type contraction mappings on Branciari b-metric spaces. ATNAA. 01 Aralık 2017;1(2):147-60. doi:10.31197/atnaa.379097