Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0435-z
Abstract: In this paper, we present a proximal split feasibility algorithm with an additional inertial extrapolation term for solving a proximal split feasibility problem under weaker conditions on the step sizes. The two convex and lower… read more here.
Keywords: split feasibility; inertial extrapolation; proximal split; split ... See more keywords
Viscosity extragradient algorithms with double inertial extrapolation steps for quasimonotone variational inequalities and fixed point problems
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DOI: 10.1080/02331934.2024.2368070
Abstract: We study two viscosity extragradient algorithms with double inertial extrapolation steps for finding a common solution of a variational inequality governed by a quasimonotone operator and of a fixed point problem with a demicontractive mapping… read more here.
Keywords: viscosity extragradient; algorithms double; inertial extrapolation; extragradient algorithms ... See more keywords
Strong convergence of an inertial extrapolation method for a split system of minimization problems
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DOI: 10.1515/dema-2020-0025
Abstract: In this article, we propose an inertial extrapolation-type algorithm for solving split system of minimization problems: finding a common minimizer point of a finite family of proper, lower semicontinuous convex functions and whose image under… read more here.
Keywords: split system; system minimization; strong convergence; minimization problems ... See more keywords
A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities
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DOI: 10.3390/math13010133
Abstract: This paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces. The method integrates a dual inertial extrapolation step, a relaxation step,… read more here.
Keywords: dual inertial; subgradient extragradient; inertial extrapolation; relaxation ... See more keywords