Viscosity iteration algorithm for a \(\varrho\)-strictly pseudononspreading mapping in a Hilbert space
From MaRDI portal
Publication:395763
DOI10.1186/1029-242X-2013-80zbMath1455.47026OpenAlexW2160982052WikidataQ59301873 ScholiaQ59301873MaRDI QIDQ395763
Zhi-Fang Li, Bin-Chao Deng, Tong Chen
Publication date: 30 January 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2013-80
strong convergencefixed pointHilbert spaceviscosity approximation methodquasi-nonexpansive mapping\(\varrho \)-strictly pseudo-non-spreading mappingdemicontractivenon-spreading mapping
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)
Related Items
Convergence analysis for the equilibrium problems with numerical results ⋮ Unnamed Item ⋮ A hybrid iterative method for common solutions of variational inequality problems and fixed point problems for single-valued and multi-valued mappings with applications ⋮ Unnamed Item ⋮ Strong convergence theorems for a pair of strictly pseudononspreading mappings
Cites Work
- Extensions of some fixed point theorems of Rhoades
- Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- A general iterative algorithm for nonexpansive mappings in Hilbert spaces
- Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- On the Mann iteration process in a Hilbert space
- An iterative approach to quadratic optimization
- Viscosity approximation methods for nonexpansive mappings
- A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
- Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequali\-ties
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- Iterative Algorithms for Nonlinear Operators