Variable KM-like algorithms for fixed point problems and split feasibility problems

DOI10.1186/1687-1812-2014-211zbMath1467.47034OpenAlexW2101485326WikidataQ59320352 ScholiaQ59320352MaRDI QIDQ2406150

Daya Ram Sahu, Abdul Latif, Qamrul Hasan Ansari

Publication date: 26 September 2017

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-211

zbMATH Keywords

convergence analysisfixed point problemssplit feasibility problemsregularized algorithms

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items

Composite viscosity methods for common solutions of general mixed equilibrium problem, variational inequalities and common fixed points ⋮ Hybrid CQ projection algorithm with line-search process for the split feasibility problem ⋮ Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems ⋮ S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities ⋮ Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities ⋮ Hybrid iterative algorithms for the split common fixed point problems ⋮ Convergence theorems for split equality mixed equilibrium problems with applications ⋮ An iterative approximation of common solutions of split generalized vector mixed equilibrium problem and some certain optimization problems ⋮ Weak and strong convergence of inertial algorithms for solving split common fixed point problems

Cites Work

• Unnamed Item
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• Mann type iterative methods for finding a common solution of split feasibility and fixed point problems
• New methods with perturbations for non-expansive mappings in Hilbert spaces
• Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
• A generalized hybrid steepest-descent method for variational inequalities in Banach spaces
• An extragradient method for solving split feasibility and fixed point problems
• Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Perturbation techniques for nonexpansive mappings with applications
• A multiprojection algorithm using Bregman projections in a product space
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• The strong convergence of a KM–CQ-like algorithm for a split feasibility problem
• Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications
• A Unified Hybrid Iterative Method for Solving Variational Inequalities Involving Generalized Pseudocontractive Mappings
• 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 sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
• A general convergence principle in nonlinear functional analysis
• 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
• Fixed Point Theory for Lipschitzian-type Mappings with Applications