A new accelerated self-adaptive stepsize algorithm with excellent stability for split common fixed point problems

DOI10.1007/s40314-020-01237-0zbMath1463.47222OpenAlexW3042945253MaRDI QIDQ2196289

Bing Tan, Songxiao Li, Zheng Zhou

Publication date: 28 August 2020

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01237-0

zbMATH Keywords

strong convergencesignal recoveryHilbert spaceMeir-Keeler contractionsplit common fixed point probleminertial techniqueself-adaptive stepsize

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Fixed-point theorems (47H10) Numerical algorithms for specific classes of architectures (65Y10) Fixed-point iterations (47J26)

Related Items

Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems ⋮ Strong convergence results for quasimonotone variational inequalities ⋮ Adaptive hybrid steepest descent algorithms involving an inertial extrapolation term for split monotone variational inclusion problems ⋮ Strong convergence of inertial extragradient algorithms for solving variational inequalities and fixed point problems ⋮ Implicit iterative algorithms of the split common fixed point problem for Bregman quasi-nonexpansive mapping in Banach spaces ⋮ Strong convergence of inertial Mann algorithms for solving hierarchical fixed point problems ⋮ Self-adaptive inertial extragradient algorithms for solving variational inequality problems ⋮ Inertial extragradient algorithms with non-monotonic step sizes for solving variational inequalities and fixed point problems

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