Two new self-adaptive algorithms for solving the split feasibility problem in Hilbert space

DOI10.1007/s11075-023-01597-8OpenAlexW4382981938MaRDI QIDQ6181169

Truong Minh Tuyen, Simeon Reich

Publication date: 22 January 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01597-8

zbMATH Keywords

Hilbert spacemetric projectionsplit feasibility problem

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Cyclic algorithms for split feasibility problems in Hilbert spaces
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Algorithms for the split variational inequality problem
• A multiprojection algorithm using Bregman projections in a product space
• A strong convergence theorem for solving the split feasibility and fixed point problems in Banach spaces
• A strong convergence theorem for the split common null point problem in Banach spaces
• An optimization approach to solving the split feasibility problem in Hilbert spaces
• A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces
• The split feasibility problem with multiple output sets in Hilbert spaces
• Projection algorithms for solving the split feasibility problem with multiple output sets
• A strong convergence theorem for a parallel iterative method for solving the split common null point problem in Hilbert spaces
• A new algorithm for solving the split common null point problem in Hilbert spaces
• The split common null point problem in Banach spaces
• A shrinking projection method for solving the split common null point problem in Banach spaces
• Two new self-adaptive algorithms for solving the split common null point problem with multiple output sets in Hilbert spaces
• The generalized Fermat-Torricelli problem in Hilbert spaces
• The split common null point problem and the shrinking projection method in Banach spaces
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• The multiple-sets split feasibility problem and its applications for inverse problems
• 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
• The Split Common Null Point Problem
• The relaxed CQ algorithm solving the split feasibility problem
• Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces
• Iterative methods for solving the generalized split common null point problem in Hilbert spaces
• Two projection methods for solving the multiple-set split common null point problem in Hilbert spaces
• Parallel Iterative Methods for Solving the Split Common Fixed Point Problem in Hilbert Spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Convex analysis and monotone operator theory in Hilbert spaces

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