International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Author

Faculty of Arts and Sciences, Adiyaman University, 02040, Adiyaman, Turkey

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

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 6
June 2023
Pages 371-386
  • Receive Date: 01 May 2021
  • Revise Date: 03 August 2021
  • Accept Date: 21 August 2021