Self-adaptive algorithms for solving split feasibility problem with multiple output sets

DOI10.1007/s11075-022-01343-6OpenAlexW4285085079MaRDI QIDQ2679829

Poom Kumam, Guash Haile Taddele, Pongsakorn Sunthrayuth, Anteneh Getachew Gebrie

Publication date: 26 January 2023

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

Full work available at URL: https://doi.org/10.1007/s11075-022-01343-6

zbMATH Keywords

Hilbert spacesplit feasibility problemself-adaptive techniquesplit feasibility problem with multiple output setsrelaxed \(CQ\) algorithm

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical analysis in abstract spaces (65J99)

Related Items

An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence of a relaxed CQ algorithm for the split feasibility problem
• Iterative methods for fixed point problems in Hilbert spaces
• Algorithms for the split variational inequality problem
• Two projection algorithms for solving the split common fixed point problem
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• A multiprojection algorithm using Bregman projections in a product space
• Alternating proximal penalization algorithm for the modified multiple-sets split feasibility problems
• Note on the modified relaxation CQ algorithm for the split feasibility problem
• Relaxed two points projection method for solving the multiple-sets split equality problem
• An inertial extrapolation method for multiple-set split feasibility problem
• Projection algorithms for solving the split feasibility problem with multiple output sets
• Strong convergence of a self-adaptive method for the split feasibility problem
• A new CQ algorithm for solving split feasibility problems in Hilbert spaces
• A family of projection gradient methods for solving the multiple-sets split feasibility problem
• Iterative regularization methods for the multiple-sets split feasibility problem in Hilbert spaces
• A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications
• Relaxed CQ algorithms involving the inertial technique for multiple-sets split feasibility problems
• Inertial accelerated algorithms for solving a split feasibility problem
• 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
• Strong Convergence Theorem for Multiple Sets Split Feasibility Problems in Banach Spaces
• A simple projection method for solving the multiple-sets split feasibility problem
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Solving the split feasibility problem without prior knowledge of matrix norms
• 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
• The split common fixed-point problem for demicontractive mappings
• A self-adaptive projection method for solving the multiple-sets split feasibility problem
• A relaxed projection method for variational inequalities
• Monotone Operators and the Proximal Point Algorithm
• 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
• Iterative methods for solving the generalized split common null point problem in Hilbert spaces
• A cyclic iterative method for solving Multiple Sets Split Feasibility Problems in Banach Spaces
• Convergence analysis of an iterative method for solving multiple-set split feasibility problems in certain Banach spaces
• Split Feasibility and Fixed Point Problems
• Linear convergence of CQ algorithms and applications in gene regulatory network inference
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Convex analysis and monotone operator theory in Hilbert spaces