Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings
From MaRDI portal
Publication:401869
DOI10.1186/1687-1812-2013-273zbMath1476.47077OpenAlexW2150411676WikidataQ59302001 ScholiaQ59302001MaRDI QIDQ401869
Publication date: 27 August 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-273
strong convergencevariational inequalitiesfixed pointmonotone mappingsviscosity approximationpseudo-contractive mappings
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Viscosity iterative algorithm for the zero point of monotone mappings in Banach spaces ⋮ Variational inequality problems over split fixed point sets of strict pseudo-nonspreading mappings and quasi-nonexpansive mappings with applications ⋮ An algorithm with general errors for the zero point of monotone mappings in Banach spaces ⋮ The hybrid projection methods for pseudocontractive, nonexpansive semigroup, and monotone mapping ⋮ Viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problems ⋮ Strong convergence of some iterative algorithms for a general system of variational inequalities
Cites Work
- Unnamed Item
- Strong convergence of an iterative method for pseudo-contractive and monotone mappings
- Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings
- A general iterative method for a finite family of nonexpansive mappings
- On Reich's strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
- The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
- Projection methods for a generalized system of nonconvex variational inequalities with different nonlinear operators
- Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
- On Reich's strong convergence theorems for resolvents of accretive operators
- On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
- An iterative approach to quadratic optimization
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- Iterative scheme for nonself generalized asymptotically quasi-nonexpansive mappings
- Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions
- Strong convergence and certain control conditions for modified Mann iteration
- A new sufficient condition for the strong convergence of Halpern type iterations
- Viscosity approximation methods for asymptotically nonexpansive mappings
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- Fixed points of nonexpanding maps
