carpathian_2024_40_2_535_557_001

A parallel inertial SP-iteration monotone hybrid algorithm for a finite family of G – nonexpansive mappings and its application in linear system, differential, and signal recovery problems


Yambangwai, Damrongsak and Thianwan, Tanakit 


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carpathian_2024_40_2_535_557

For solving a common fixed point of a finite family of G-nonexpansive mappings, we propose a parallel inertial SP-iteration monotone hybrid algorithm (PISPMHA). Weak convergence theorem is established for PISPMHA in Hilbert spaces endowed with graphs. Convergence behavior of PISPMHA is analyzed and discussed. As applications, we apply PISPMHA to solve linear system, differential, and signal recovery problems.

 

 

 

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Author(s)

Thianwan, Tanakit , Yambangwai, Damrongsak

DOI

https://doi.org/10.37193/CJM.2024.02.19