An Algorithm for Solving Common Points of Convex Minimization Problems with Applications
SYMMETRY-BASEL(2023)
摘要
In algorithm development, symmetry plays a vital part in managing optimization problems in scientific models. The aim of this work is to propose a new accelerated method for finding a common point of convex minimization problems and then use the fixed point of the forward-backward operator to explain and analyze a weak convergence result of the proposed algorithm in real Hilbert spaces under certain conditions. As applications, we demonstrate the suggested method for solving image inpainting and image restoration problems.
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关键词
Hilbert space,forward-backward algorithm,convergence theorems,convex minimization problems,fixed point
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