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

Takanori Ibaraki, Shunsuke Kajiba and Yukio Takeuchi

Abstract and Applied Analysis, 2022, vol. 2022, issue 1

Abstract: 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.

Date: 2022
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https://doi.org/10.1155/2022/9568060

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