carpathian_2024_40_1_195_206_001

Approximating solutions of a split fixed point problem of demicontractive operators


Zhu, Li-Jun, Yao, Jen-Chih and Yao, Yonghong


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carpathian_2024_40_1_195_206

The concept of demicontractive operators introduced by Ştefan Măruşter is widely used in application and has been investigated by many scholars. The purpose of this paper is to continue to survey iterative methods for solving the split problem relevant to demicontractive operators. With the help of fixed point techniques, we construct an iterative sequence for solving the split fixed point problem in which three demicontractive operators are involved. Strong convergence result is obtained under several additional conditions. Finally, two numerical examples are given to illustrate the performance of the algorithm.

 

 

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Author(s)

 Yao, Jen-Chih, Yao, Yonghong, Zhu, Li-Jun

DOI

https://doi.org/10.37193/CJM.2024.01.14