EN
Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space
Abstract
This paper aims to prove common fixed point theorems for a pair of hybrid and p-hybrid mappings via common limit range property in G-metric space setting. The
theorems proved here will generalise the results due to Nashine et al. [35], Karapinar et al. [23, 24] from metric space notion to G-metric space and that of Mustafa et
al.[30] using (CLRf ) property concept in G-metric space, and many others in this setting. We also provided an illustrative example to validate the results.
Keywords
Destekleyen Kurum
None
Proje Numarası
None
Teşekkür
Thanks
Kaynakça
- [1] Aamri, M., El Moutawakil, D., Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270(1), (2002), 181–188.
- [2] Agarwal, R. P., Kadelburg, Z., Radenovic, S., On coupled fixed point results in asymmetric G-metric spaces, Journal of operators, 2013(1), (2013).
- [3] Agarwal, R. P., Karapınar, E., O’Regan, D. and Roldan-Lopez-de-Hierro, A. F., Fixed point theory in metric type spaces Fixed Point Theory and Applications, Switzerland: Springer,(2015).
- [4] Ahmad, B., Ashraf, M., Rhoades, B. E., Fixed point theorems for expansive mappings in D-metric spaces, Indian Journal of Pure and Applied Mathematics, 32(10), (2001), 1513–1518.
- [5] Azam. A., Mehmood, N., Fixed point theorems for multivalued mappings in G-cone metric spaces, Journal of Inequalities and Applications, (1), (2013), 354.
- [6] Chauhan, S., Khan, M. A., Kadelburg, Z., Imdad, M., Unified common fixed point theorems for a hybrid pair of mappings via an implicit relation involving altering distance function, Abstract, and Applied Analysis, Volume 2014, (2014), Article ID 718040 | https://doi.org/10.1155/2014/718040.
- [7] Chugh, R., Kadian, T., Rani, A., Rhoades, B. E., Property P in G-metric spaces, Fixed Point Theory, and Applications, (2010), 2010, 12pages.
- [8] Dhage, B. C., Generalised metric space and topological structure, I. Analele Atintifice ale Universitatii Al. I. Cuza din lasi. Serie Noua Mathematica, 46(3), (2000), 24.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Haziran 2021
Gönderilme Tarihi
1 Nisan 2021
Kabul Tarihi
26 Nisan 2021
Yayımlandığı Sayı
Yıl 2021 Cilt: 4 Sayı: 2
APA
Wangwe, L., & Kumar, S. (2021). Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space. Results in Nonlinear Analysis, 4(2), 87-104. https://doi.org/10.53006/rna.907704
AMA
1.Wangwe L, Kumar S. Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space. RNA. 2021;4(2):87-104. doi:10.53006/rna.907704
Chicago
Wangwe, Lucas, ve Santosh Kumar. 2021. “Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space”. Results in Nonlinear Analysis 4 (2): 87-104. https://doi.org/10.53006/rna.907704.
EndNote
Wangwe L, Kumar S (01 Haziran 2021) Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space. Results in Nonlinear Analysis 4 2 87–104.
IEEE
[1]L. Wangwe ve S. Kumar, “Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space”, RNA, c. 4, sy 2, ss. 87–104, Haz. 2021, doi: 10.53006/rna.907704.
ISNAD
Wangwe, Lucas - Kumar, Santosh. “Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space”. Results in Nonlinear Analysis 4/2 (01 Haziran 2021): 87-104. https://doi.org/10.53006/rna.907704.
JAMA
1.Wangwe L, Kumar S. Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space. RNA. 2021;4:87–104.
MLA
Wangwe, Lucas, ve Santosh Kumar. “Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space”. Results in Nonlinear Analysis, c. 4, sy 2, Haziran 2021, ss. 87-104, doi:10.53006/rna.907704.
Vancouver
1.Lucas Wangwe, Santosh Kumar. Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space. RNA. 01 Haziran 2021;4(2):87-104. doi:10.53006/rna.907704
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