A general inexact iterative method for monotone operators, equilibrium problems and fixed point problems of semigroups in Hilbert spaces
From MaRDI portal
Publication:372088
DOI10.1186/1687-1812-2012-83zbMath1460.47030OpenAlexW2134448844WikidataQ59289611 ScholiaQ59289611MaRDI QIDQ372088
Publication date: 11 October 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2012-83
Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (3)
A viscosity Cesàro mean approximation method for split generalized vector equilibrium problem and fixed point problem ⋮ General Iterative Methods for Semigroups of Nonexpansive Mappings Related to Optimization Problems ⋮ Perturbed iterative methods for a general family of operators: convergence theory and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Iterative methods for equilibrium and fixed point problems for nonexpansive semigroups in Hilbert spaces
- The prox-Tikhonov regularization method for the proximal point algorithm in Banach spaces
- Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces
- On iterations methods for zeros of accretive operators in Banach spaces
- General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space
- Strong convergence of the modified Mann iterative method for strict pseudo-contractions
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Strong convergence to common fixed points of families of nonexpansive mappings
- A remark on vector-valued equilibria and generalized monotonicity
- An iterative approach to quadratic optimization
- Approximating solutions of maximal monotone operators in Hilbert spaces
- A general iterative method for nonexpansive mappings in Hilbert spaces
- An explicit construction of sunny nonexpansive retractions in Banach spaces
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Iterative Algorithms for Nonlinear Operators
- Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
- Monotone Operators and the Proximal Point Algorithm
- Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
- Quadratic optimization of fixed points of nonexpansive mappings in hubert space
- Iterative Algorithms for Equilibrium Problems
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Fixed points of nonexpanding maps
This page was built for publication: A general inexact iterative method for monotone operators, equilibrium problems and fixed point problems of semigroups in Hilbert spaces