Araştırma Makalesi

Some convergence results using a new iterative algorithm in CAT(0) space

Cilt: 5 Sayı: 3 30 Eylül 2022
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Some convergence results using a new iterative algorithm in CAT(0) space

Öz

This paper presents a new iterative algorithm for approximating the invariant points of Suzuki’s generalized nonexpansive maps. Some strong convergence theorems are developed in the context of CAT(0) space. We also included examples to demonstrate the proposed algorithm’s convergence nature. Lastly, the stability of the said iterative algorithm is discussed to validate the results

Anahtar Kelimeler

Destekleyen Kurum

None

Proje Numarası

NIL

Kaynakça

  1. [1] T. Abdeljawad, K. Ullah, J. Ahmad, M. Sen, and M. N. Khan, Some convergence results for a class of generalized nonexpansive mappings in Banach spaces, Advances in Mathematical Physics, (2021), 2021, 6 pages. Article ID 8837317.
  2. [2] J. Ahmad, K. Ullah, M. Arshad and Z. Ma, A new iterative method for suzuki mappings in Banach spaces, Journal of Mathematics,(2021), 2021, 7 pages. Article ID 6622931.
  3. [3] D. Burago, Y. Burago and S. Ivanov, A Course in Metric Geometry, In:Graduate studies in Math., Amer. Math. Soc., Providence, Rhode Island, (2001).
  4. [4] F. Bruhat and J. Tits, Groups rekductifss sur un corps local. I. DonneKes radicielles valueKes, Publ. Math. Inst. Hautes EKtudes Sci., 41,(1972), 5-251.
  5. [5] M. R. Bridson, and A. Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften, 319 (1999), Springer, Berlin.
  6. [6] M. Gromov, Hyperbolic Groups. Essays in group theory, Math. Sci. Res. Inst. Publ., 8 (1987), Springer, New York.
  7. [7] A. Ghiura, Convergence of modi?ed Picard-Mann hybrid iteration process for nearly nonexpansive mappings, International Journal of Mathematics Trends and Technology, 66 (12) (2020), 37-43.
  8. [8] A. M. Harder, Fixed point theory and stability results for fixed points iteration procedures. Ph. D. Thesis, (1987), University of MissouriRolla.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2022

Gönderilme Tarihi

3 Nisan 2022

Kabul Tarihi

15 Haziran 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Panwar, A., Lamba, P., & Kumar, S. (2022). Some convergence results using a new iterative algorithm in CAT(0) space. Results in Nonlinear Analysis, 5(3), 263-272. https://doi.org/10.53006/rna.1097678
AMA
1.Panwar A, Lamba P, Kumar S. Some convergence results using a new iterative algorithm in CAT(0) space. RNA. 2022;5(3):263-272. doi:10.53006/rna.1097678
Chicago
Panwar, Anju, Pinki Lamba, ve Santosh Kumar. 2022. “Some convergence results using a new iterative algorithm in CAT(0) space”. Results in Nonlinear Analysis 5 (3): 263-72. https://doi.org/10.53006/rna.1097678.
EndNote
Panwar A, Lamba P, Kumar S (01 Eylül 2022) Some convergence results using a new iterative algorithm in CAT(0) space. Results in Nonlinear Analysis 5 3 263–272.
IEEE
[1]A. Panwar, P. Lamba, ve S. Kumar, “Some convergence results using a new iterative algorithm in CAT(0) space”, RNA, c. 5, sy 3, ss. 263–272, Eyl. 2022, doi: 10.53006/rna.1097678.
ISNAD
Panwar, Anju - Lamba, Pinki - Kumar, Santosh. “Some convergence results using a new iterative algorithm in CAT(0) space”. Results in Nonlinear Analysis 5/3 (01 Eylül 2022): 263-272. https://doi.org/10.53006/rna.1097678.
JAMA
1.Panwar A, Lamba P, Kumar S. Some convergence results using a new iterative algorithm in CAT(0) space. RNA. 2022;5:263–272.
MLA
Panwar, Anju, vd. “Some convergence results using a new iterative algorithm in CAT(0) space”. Results in Nonlinear Analysis, c. 5, sy 3, Eylül 2022, ss. 263-72, doi:10.53006/rna.1097678.
Vancouver
1.Anju Panwar, Pinki Lamba, Santosh Kumar. Some convergence results using a new iterative algorithm in CAT(0) space. RNA. 01 Eylül 2022;5(3):263-72. doi:10.53006/rna.1097678

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