On the strong convergence of a perturbed algorithm to the unique solution of a variational inequality problem

DOI10.23952/jnva.7.2023.2.03OpenAlexW4384568990MaRDI QIDQ5889937

Ramzi May, Unnamed Author

Publication date: 28 April 2023

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05861

zbMATH Keywords

fixed pointsvariational inequalitiesmonotone operatorsnonexpansive mappings

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some iterative methods for finding fixed points and for solving constrained convex minimization problems
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• Monotone (nonlinear) operators in Hilbert space
• An iterative approach to quadratic optimization
• An iterative approach to a constrained least squares problem
• A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• Iterative Algorithms for Nonlinear Operators
• Fixed points of nonexpanding maps
• On the Maximality of Sums of Nonlinear Monotone Operators
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: On the strong convergence of a perturbed algorithm to the unique solution of a variational inequality problem