An iterative method for split inclusion problems without prior knowledge of operator norms

DOI10.1007/s11784-016-0387-8zbMath1380.49004OpenAlexW2558487686MaRDI QIDQ1687172

Yekini Shehu, José Yunier Bello Cruz

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0387-8

zbMATH Keywords

iterative algorithmstrong convergenceapproximation of solutionuniformly smooth Banach space\(p\)-uniformly convex Banach spacesplit inclusion problem

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Numerical methods based on nonlinear programming (49M37) Existence theories for problems in abstract spaces (49J27)

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An iterative algorithm with inertial technique for solving the split common null point problem in Banach spaces ⋮ New Self-Adaptive Algorithms and Inertial Self-Adaptive Algorithms for the Split Variational Inclusion Problems in Hilbert Space ⋮ Yosida approximation iterative methods for split monotone variational inclusion problems ⋮ Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method ⋮ A new self-adaptive method for the multiple-sets split common null point problem in Banach spaces ⋮ Inertial algorithm for solving split inclusion problem in Banach spaces ⋮ Inertial-type algorithm for solving split common fixed point problems in Banach spaces ⋮ New self-adaptive step size algorithms for solving split variational inclusion problems and its applications

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