Strong convergence of iterative algorithms for the split equality problem

DOI10.1186/1029-242X-2014-478zbMath1472.47081WikidataQ59323882 ScholiaQ59323882MaRDI QIDQ2405747

Ru Dong Chen, Yu Jing Wu, Luo Yi Shi

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergenceiterative algorithmssplit equality problemreal Hilbert spaces

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)

Related Items (16)

A new method for solving split equality problems via projection dynamical systems ⋮ Strong convergence theorems for split inclusion problems in Hilbert spaces ⋮ Two general splitting methods with alternated inertia for solving split equality problem in Hilbert spaces ⋮ Strong convergence theorems for variational inequalities and split equality problem ⋮ An iterative algorithm for the split equality and multiple-sets split equality problem ⋮ Projection and contraction methods for constrained convex minimization problem and the zero points of maximal monotone operator ⋮ Two-step methods and relaxed two-step methods for solving the split equality problem ⋮ Linear convergence of gradient projection algorithm for split equality problems ⋮ Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem ⋮ Iterative algorithm for solving the multiple-sets split equality problem with split self-adaptive step size in Hilbert spaces ⋮ Relaxed alternating CQ algorithms for the split equality problem in Hilbert spaces ⋮ General viscosity approximation methods for quasi-nonexpansive mappings with applications ⋮ Linear convergence of the relaxed gradient projection algorithm for solving the split equality problems in Hilbert spaces ⋮ Convergence rate analysis of an iterative algorithm for solving the multiple-sets split equality problem ⋮ Multiple-sets split feasibility problem and split equality fixed point problem for firmly quasi-nonexpansive or nonexpansive mappings ⋮ The Strongly Convergent Relaxed Alternating CQ Algorithms for the Split Equality Problem in Hilbert Spaces

Cites Work

• A multiprojection algorithm using Bregman projections in a product space
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• Viscosity approximation methods for nonexpansive mappings
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• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• Fixed Points by a New Iteration Method
• The relaxed CQ algorithm solving the split feasibility problem
• Generalized KM theorems and their applications
• A note on the CQ algorithm for the split feasibility problem
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