Iterative algorithm for solving the multiple-sets split equality problem with split self-adaptive step size in Hilbert spaces

DOI10.1186/S13660-016-0982-7zbMath1383.90044OpenAlexW2268667685WikidataQ59468258 ScholiaQ59468258MaRDI QIDQ5964630

Dianlu Tian, Luo Yi Shi, Ru Dong Chen

Publication date: 29 February 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-0982-7

zbMATH Keywords

iterative algorithmmultiple-sets split equality problemsplit self-adaptive step size

Mathematics Subject Classification ID

Convex programming (90C25) Programming in abstract spaces (90C48)

Related Items (7)

Outer perturbations of a projection method and two approximation methods for the split equality problem ⋮ Simultaneous and semi-alternating projection algorithms for solving split equality problems ⋮ On split monotone variational inclusion problem with multiple output sets with fixed point constraints ⋮ Solve the split equality problem by a projection algorithm with inertial effects ⋮ Two-step methods and relaxed two-step methods for solving the split equality problem ⋮ Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem ⋮ Convergence rate analysis of an iterative algorithm for solving the multiple-sets split equality problem

Cites Work

• A multiprojection algorithm using Bregman projections in a product space
• Strong convergence of iterative algorithms for the split equality problem
• Solving the split equality problem without prior knowledge of operator norms
• 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
• 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 relaxed CQ algorithm solving the split feasibility problem
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• A note on the CQ algorithm for the split feasibility problem
• Convex analysis and monotone operator theory in Hilbert spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Iterative algorithm for solving the multiple-sets split equality problem with split self-adaptive step size in Hilbert spaces