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Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space

Cilt: 4 Sayı: 2 30 Haziran 2021
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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. [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. [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. [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. [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. [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. [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. [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. [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

Kaynak Göster

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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