A general iterative scheme for \(k\)-strictly pseudo-contractive mappings and optimization problems
From MaRDI portal
Publication:628918
DOI10.1016/j.amc.2010.12.034zbMath1213.65080OpenAlexW2032832455MaRDI QIDQ628918
Publication date: 8 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.034
fixed pointnonexpansive mappingHilbert spaceoptimization problemstrongly positive bounded linear operator\(k\)-strictly pseudo-contractive mapping
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
General iterative methods for monotone mappings and pseudocontractive mappings related to optimization problems ⋮ An explicit parallel algorithm for variational inequalities ⋮ Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems ⋮ An explicit iterative algorithm for a class of variational inequalities in Hilbert spaces ⋮ An inertial iterative method for split generalized vector mixed equilibrium and fixed point problems.
Cites Work
- Unnamed Item
- Unnamed Item
- Hilbertian convex feasibility problem: Convergence of projection methods
- Strong convergence of iterative methods for \(k\)-strictly pseudo-contractive mappings in Hilbert spaces
- Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
- Some results on \(k\)-strictly pseudo-contractive mappings in Hilbert spaces
- Mixed equilibrium problems and optimization problems
- Approximation of fixed points of nonexpansive mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Viscosity approximation methods for nonexpansive mappings
- Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
- Viscosity approximation methods for fixed-points problems
- A general iterative method for nonexpansive mappings in Hilbert spaces
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- Iterative Algorithms for Nonlinear Operators
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
- Convergence of paths for pseudo-contractive mappings in Banach spaces
- On Projection Algorithms for Solving Convex Feasibility Problems
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Fixed points of nonexpanding maps