Convergence Analysis of Two Parallel Methods for Common Variational Inclusion Problems Involving Demicontractive Mappings

IF 0.7 Q2 MATHEMATICS
T. Mouktonglang, K. Poochinapan, P. Varnakovida, R. Suparatulatorn, Sompop Moonchai
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Abstract

The main objective of this article is to propose two novel parallel methods for solving common variational inclusion and common fixed point problems in a real Hilbert space. Strong convergence theorems of both methods are established by allowing for some mild conditions. Moreover, numerical studies of the signal recovery problem consisting of various blurred filters demonstrate the computational behavior of the proposed methods and other existing methods.
涉及半收缩映射的常见变分包含问题的两种并行方法的收敛性分析
本文的主要目的是提出两种新的并行方法来解决实数Hilbert空间中的公共变分包含和公共不动点问题。通过考虑一些温和条件,建立了两种方法的强收敛定理。此外,对由各种模糊滤波器组成的信号恢复问题的数值研究表明了所提方法和其他现有方法的计算性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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