carpathian_2024_40_1_173_185_001

Weak convergence of inertial proximal point algorithm for a family of nonexpansive mappings in Hilbert spaces


Tiammee, Supalin and Tiammee, Jukrapong


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carpathian_2024_40_1_173_185

In this paper, we modified proximal point algorithm with some convex combination technique to approximate a minimizer, equilibrium point and a common fixed point of a family of nonexpansive mappings in Hilbert spaces. We establish a weak convergence theorem under some mild conditions. Moreover, we also provide a numerical example to illustrate the convergence behavior of the proposed iterative method.

 

 

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Author(s)

 Tiammee, Supalin, Tiammee, Jukrapong

DOI

https://doi.org/10.37193/CJM.2024.01.12