General inertial Mann algorithms and their convergence analysis for nonexpansive mappings

DOI10.1007/978-3-319-89815-5_7zbMath1407.47007OpenAlexW2811074406MaRDI QIDQ1716114

Themistocles M. Rassias, Yeol Je Cho, Qiao-Li Dong

Publication date: 29 January 2019

Full work available at URL: https://doi.org/10.1007/978-3-319-89815-5_7

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Solving a split feasibility problem by the strong convergence of two projection algorithms in Hilbert spaces ⋮ An explicit extragradient algorithm for solving variational inequalities ⋮ Forward-backward-forward algorithms involving two inertial terms for monotone inclusions ⋮ MiKM: multi-step inertial Krasnosel'skiǐ-Mann algorithm and its applications ⋮ Novel inertial methods for fixed point problems in reflexive Banach spaces with applications ⋮ Effect of shrinking projection and CQ-methods on two inertial forward-backward algorithms for solving variational inclusion problems ⋮ A general inertial projected gradient method for variational inequality problems ⋮ On the optimal relaxation parameters of Krasnosel'ski–Mann iteration ⋮ New inertial relaxed \(CQ\) algorithms for solving split feasibility problems in Hilbert spaces ⋮ Inertial relaxed \textit{CQ} algorithms for solving a split feasibility problem in Hilbert spaces ⋮ Convergence Theorems and Convergence Rates for the General Inertial Krasnosel’skiǐ–Mann Algorithm ⋮ Multi-step inertial Krasnosel'skiǐ-Mann iteration with new inertial parameters arrays ⋮ Multi-inertial parallel hybrid projection algorithm for generalized split null point problems

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