Iterative algorithm for approximating solutions of maximal monotone operators in Hilbert spaces
From MaRDI portal
Publication:2472274
DOI10.1155/2007/32870zbMath1156.47056OpenAlexW2056266020WikidataQ59215485 ScholiaQ59215485MaRDI QIDQ2472274
Publication date: 21 February 2008
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/55141
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
Related Items
Iterative methods for pseudomonotone variational inequalities and fixed-point problems ⋮ Strong convergence theorems of the \(C Q\) algorithm for \(H\)-monotone operators in Hilbert spaces ⋮ Strong convergence theorems of the CQ method for nonexpansive semigroups ⋮ Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation
Cites Work
- Unnamed Item
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- Produits infinis de resolvantes
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Approximating solutions of maximal monotone operators in Hilbert spaces
- Forcing strong convergence of proximal point iterations in a Hilbert space
- Characterization of the subdifferentials of convex functions
- A characterization of strict convexity of Banach spaces and other uses of duality mappings
- On the maximal monotonicity of subdifferential mappings
- On the monotonicity of the gradient of a convex function
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- Another control condition in an iterative method for nonexpansive mappings
- On the Maximality of Sums of Nonlinear Monotone Operators
