Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space

DOI10.1007/s10483-009-0711-yzbMath1219.47121OpenAlexW2030674741MaRDI QIDQ842752

Ying Liu

Publication date: 25 September 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0711-y

zbMATH Keywords

fixed pointsstrong convergencevariational inequalityrelatively nonexpansive mappingiterative sequenceinverse-strongly-monotone mapping

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

New algorithms for approximating zeros of inverse strongly monotone maps and \(J\)-fixed points ⋮ Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Banach spaces ⋮ Weak convergence of a modified subgradient extragradient algorithm for monotone variational inequalities in Banach spaces ⋮ Strong convergence theorems for relatively nonexpansive mappings and Lipschitz-continuous monotone mappings in Banach spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Strong convergence studied by a hybrid type method for monotone operators in a Banach space
• Sharp uniform convexity and smoothness inequalities for trace norms
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Weak convergence of a projection algorithm for variational inequalities in a Banach space
• Variational inequalities
• On the Maximality of Sums of Nonlinear Monotone Operators

This page was built for publication: Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space