Linear convergence of the relaxed gradient projection algorithm for solving the split equality problems in Hilbert spaces

DOI10.1186/s13660-019-2026-6zbMath1499.90273OpenAlexW2939133967WikidataQ128144427 ScholiaQ128144427MaRDI QIDQ2067802

Tingting Tian, Luo Yi Shi, Ru Dong Chen

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2026-6

zbMATH Keywords

linear convergencesplit equality problembounded linear regularityrelaxed gradient projection algorithm

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Methods of reduced gradient type (90C52)

Related Items (3)

A new method for solving split equality problems via projection dynamical systems ⋮ Two general splitting methods with alternated inertia for solving split equality problem in Hilbert spaces ⋮ Convergence rate of the relaxed CQ algorithm under Hölderian type error bound property

Cites Work

• Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
• Linear regularity and linear convergence of projection-based methods for solving convex feasibility problems
• A relaxed alternating CQ-algorithm for convex feasibility problems
• Strong convergence of iterative algorithms for the split equality problem
• Solving the split equality problem without prior knowledge of operator norms
• The multiple-sets split feasibility problem and its applications for inverse problems
• Linear convergence of gradient projection algorithm for split equality problems
• On Projection Algorithms for Solving Convex Feasibility Problems
• Linear convergence of CQ algorithms and applications in gene regulatory network inference
• Convex analysis and monotone operator theory in Hilbert spaces
• Unnamed Item

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