Simultaneous iterative algorithm for the split equality fixed-point problem of demicontractive mappings

DOI10.22436/JNSA.010.01.15zbMath1412.47078OpenAlexW2579429247MaRDI QIDQ4631797

Tae Hwa Kim, Ya-Qin Wang

Publication date: 23 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.010.01.15

zbMATH Keywords

iterative algorithmstrong convergencedemicontractive mappingsplit equality 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 (11)

Unnamed Item ⋮ Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces ⋮ Algorithmic procedure for approximate solution of split problems involving various classes of mappings ⋮ An algorithmic approach to solving split common fixed point problems for families of demicontractive operators in Hilbert spaces ⋮ Unnamed Item ⋮ Approximation of common solutions of nonlinear problems involving various classes of mappings ⋮ The split common fixed-point problem for demicontractive mappings and quasi-nonexpansive mappings ⋮ Weak and strong convergence theorems for the multiple-set split equality common fixed-point problems of demicontractive mappings ⋮ Solution by iteration of split equality problem involving some families of mappings in Banach spaces ⋮ A viscosity iterative algorithm for split common fixed-point problems of demicontractive mappings ⋮ Simultaneous iteration for variational inequalities over common solutions for finite families of nonlinear problems

Cites Work

• Simultaneous iterative algorithms for the split common fixed-point problem of generalized asymptotically quasi-nonexpansive mappings without prior knowledge of operator norms
• Regularized methods for the split feasibility problem
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• A multiprojection algorithm using Bregman projections in a product space
• A relaxed alternating CQ-algorithm for convex feasibility problems
• Strong convergence of a self-adaptive method for the split feasibility problem
• Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
• Iterative Algorithms for Nonlinear Operators
• Iterative oblique projection onto convex sets and the split feasibility problem
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