A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces

In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.

Bibliographic Details
Main Authors: Takanori Ibaraki, Shunsuke Kajiba, Yukio Takeuchi
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2022/9568060
Description
Summary:In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.
ISSN:1687-0409