Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces

DOI10.1016/j.na.2012.01.031zbMath1295.47086OpenAlexW2044533923MaRDI QIDQ414496

Nan-Jing Huang, Donal O'Regan, Xue-song Li

Publication date: 11 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.01.031

zbMATH Keywords

common fixed pointnonexpansive semigroupviscosity approximationpseudo-contractive semigroup\(\phi \)-strongly pseudo-contractive mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence of viscosity iterations with error terms for cosine families in Banach spaces

Cites Work

• A method for a solution of equilibrium problem and fixed point problem of a nonexpansive semigroup in Hilbert's spaces
• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces
• Hybrid Ishikawa iterative methods for a nonexpansive semigroup in Hilbert space
• Viscosity approximation methods for pseudocontractive mappings in Banach spaces
• Strong convergence theorem for nonexpansive semigroups in Hilbert space
• Strong convergence of modified Ishikawa iteration for a nonexpansive semigroup in Banach spaces
• Implicit iterative algorithms for treating strongly continuous semigroups of Lipschitz pseudocontractions
• Viscosity method for hierarchical fixed point approach to variational inequalities
• Viscosity approximation of common fixed points for \(L\)-Lipschitzian semigroup of pseudocontractive mappings in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
• Approximating fixed points of non-self nonexpansive mappings in Banach spaces
• Viscosity approximation methods for nonexpansive mappings
• Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
• Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
• Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces
• A characterization of strict convexity of Banach spaces and other uses of duality mappings
• An example on the Mann iteration method for Lipschitz pseudocontractions
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• Fixed point iteration for pseudocontractive maps
• Convergence, resolvent consistency, and the fixed point property for nonexpansive mappings
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• Strong convergence theorems for common fixed points of uniformlyL-Lipschitzian pseudocontractive semi-groups
• A strong convergence theorem for contraction semigroups in Banach spaces
• Convergence theorems for \(\phi\)-strongly accretive and \(\phi\)-hemicontractive operators
• Unnamed Item
• Unnamed Item
• Unnamed Item