Modified Krasnoselski-Mann type iterative algorithm with strong convergence for hierarchical fixed point problem and split monotone variational inclusions

DOI10.1016/j.cam.2021.113501zbMath1471.65064OpenAlexW3133450382MaRDI QIDQ2020561

Dao-Jun Wen

Publication date: 23 April 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113501

zbMATH Keywords

numerical examplestrong convergencefixed-point theoremssplit mixed equilibrium problemKrasnoselski-Mann type iterationsplit variational inclusions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)

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Cites Work

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• On the strong convergence of a general-type Krasnosel'skii-Mann's algorithm depending on the coefficients
• Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space
• Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
• Convergence of hybrid steepest-descent methods for variational inequalities
• Split monotone variational inclusions
• Algorithms for the split variational inequality problem
• Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• A hybrid viscosity algorithm via modify the hybrid steepest descent method for solving the split variational inclusion in image reconstruction and fixed point problems
• An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems
• Modified Krasnoselski-Mann iterative method for hierarchical fixed point problem and split mixed equilibrium problem
• Composite projection algorithms for the split feasibility problem
• Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces
• Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces
• An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
• Viscosity splitting methods for variational inclusion and fixed point problems in Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• KRASNOSELSKI–MANN ITERATION FOR HIERARCHICAL FIXED POINTS AND EQUILIBRIUM PROBLEM
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• The Split Common Null Point Problem
• Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization
• Weak and strong convergence of Krasnoselski–Mann iteration for hierarchical fixed point problems
• A Hierarchical Presentation of Operators with Fixed Points on Hilbert Spaces
• Krasnoselski–Mann iteration for hierarchical fixed-point problems
• Convex analysis and monotone operator theory in Hilbert spaces