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An intermixed algorithm for solving fixed point problems of proximal operators in Hilbert Spaces
Author(s)
Khuangsatung, Wongvisarut
Date Issued
January 1, 2024
Type
Article
Abstract
The aim of this paper is to modify proximal operators in Hilbert spaces. We introduce an inter-mixed algorithm with viscosity technique to find the solution of fixed point problem of two proximal operators in a real Hilbert space, utilizing the modified proximal operators. Under some mild conditions, a strong convergence theorem is established for the proposed algorithm. We also apply our main result to the split feasibility problem. Finally we provide numerical examples for supporting the main result.
Citation
Carpathian Journal of Mathematics, 40(2), 307-331, 2024