Iterative methods for fixed points and zero points of nonlinear mappings with applications

DOI10.1080/02331934.2019.1613404OpenAlexW2944300207WikidataQ127896291 ScholiaQ127896291MaRDI QIDQ4986399

Xiaolong Qin, Liya Liu, Ravi P. Agarwal

Publication date: 27 April 2021

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2019.1613404

zbMATH Keywords

fixed pointvariational inequalitynonexpansive mappingpseudomonotone mappingsteepest-descent method

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings ⋮ A hierarchical variational inequality problem for generalized demimetric mappings with applications ⋮ Self-adaptive inertial extragradient algorithms for solving variational inequality problems ⋮ Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints

Cites Work

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• Convergence analysis of an iterative algorithm for monotone operators
• Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems
• Pseudo-monotone complementarity problems in Hilbert space
• Linear regularity and linear convergence of projection-based methods for solving convex feasibility problems
• Zero point problem of accretive operators in Banach spaces
• Seven kinds of monotone maps
• Iterative methods for pseudomonotone variational inequalities and fixed-point problems
• Approximation of common solutions of variational inequalities via strict pseudocontractions
• Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
• A self-adaptive iterative algorithm for the split common fixed point problems
• A unified hybrid iterative method for hierarchical minimization problems
• Regularization of proximal point algorithms in Hadamard manifolds
• Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces
• Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms
• The shrinking projection method for a finite family of demimetric mappings with variational inequality problems in a Hilbert space
• Inexact Newton methods for the nonlinear complementarity problem
• STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Convergence to approximate solutions and perturbation resilience of iterative algorithms
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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