Iterative methods for solving split feasibility problems and fixed point problems in Banach spaces

DOI10.2298/FIL1916345LzbMath1498.47130OpenAlexW3008715512MaRDI QIDQ5864262

Xiaorong Li, Ping Zuo, Min Liu, Shi Sheng Zhang

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1916345l

zbMATH Keywords

maximal monotone operatorsstrong convergencesplit feasibility problemmodified proximal point algorithmshrinking projective method

Mathematics Subject Classification ID

Convex programming (90C25) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Programming in abstract spaces (90C48)

Cites Work

• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• On convergence criteria of generalized proximal point algorithms
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• A multiprojection algorithm using Bregman projections in a product space
• Convergence of generalized proximal point algorithms
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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