Convergence theorems for a general class of nonexpansive mappings in Banach spaces

Author(s):

Seyit Temir *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we introduce a new iteration process for the approximation of fixed points. We show that our iteration process is faster than the existing iteration processes like the M-iteration process and the K-iteration process for contraction mappings. Also, we prove that the new iteration process is stable. Finally, we study the convergence of a new iterative scheme to a fixed point for the $(\alpha,\beta)$ -Reich-Suzuki nonexpansive type mappings in Banach space.
Keywords:

Fixed point , convergence , Opial’s condition , generalized nonexpansive mappings

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 6, Jun 2023
Pages:
371 to 386
https://www.magiran.com/p2626710