Viscosity approximation methods for the multiple-set split equality common fixed-point problems of demicontractive mappings

DOI10.22436/jnsa.010.08.20zbMath1412.47077OpenAlexW2749727652MaRDI QIDQ4632572

Xiaoli Fang, Ya-Qin Wang

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.08.20

zbMATH Keywords

strong convergencedemicontractive mappingmultiple-set split equality common fixed-point problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

A new approximation scheme for solving various split inverse problems ⋮ Viscosity approximation method for solving the multiple-set split equality common fixed-point problems for quasi-pseudocontractive mappings in Hilbert spaces ⋮ General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces ⋮ An algorithm for the generalized split equality fixed point problem of quasi-pseudo-contractive mappings ⋮ Simultaneous iteration for variational inequalities over common solutions for finite families of nonlinear problems

Cites Work

• Solving the variational inequality problem defined on intersection of finite level sets
• Regularized methods for the split feasibility problem
• Convergence analysis of a monotone projection algorithm in reflexive Banach spaces
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• A multiprojection algorithm using Bregman projections in a product space
• Strong convergence of a self-adaptive method for the split feasibility problem
• Viscosity approximation methods for the split equality common fixed point problem of quasi-nonexpansive operators
• Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
• Mixed iterative algorithms for the multiple-set split equality common fixed-point problems without prior knowledge of operator norms
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• The split common fixed-point problem for demicontractive mappings
• Iterative oblique projection onto convex sets and the split feasibility problem
• WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item