Research Article

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

Volume: 5 Number: 3 September 30, 2022
EN

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

Abstract

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

Keywords

Supporting Institution

None

Project Number

NIL

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2022

Submission Date

April 3, 2022

Acceptance Date

June 15, 2022

Published in Issue

Year 2022 Volume: 5 Number: 3

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, and 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 (September 1, 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, and S. Kumar, “Some convergence results using a new iterative algorithm in CAT(0) space”, RNA, vol. 5, no. 3, pp. 263–272, Sept. 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 (September 1, 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, et al. “Some Convergence Results Using a New Iterative Algorithm in CAT(0) Space”. Results in Nonlinear Analysis, vol. 5, no. 3, Sept. 2022, pp. 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. 2022 Sep. 1;5(3):263-72. doi:10.53006/rna.1097678

Cited By