Strong convergence theorems of the general iterative methods for nonexpansive semigroups in Banach spaces

DOI10.1155/2011/643740zbMath1221.47131OpenAlexW2033824535WikidataQ58687887 ScholiaQ58687887MaRDI QIDQ554821

Rattanaporn Wangkeeree

Publication date: 22 July 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/643740

zbMATH Keywords

variational inequalityiterative processesnonexpansive semigroup

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence to common fixed point of nonexpansive semigroups
• General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space
• Strong convergence to common fixed points of families of nonexpansive mappings
• An iterative approach to quadratic optimization
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Strong convergence of a generalized iterative method for semigroups of nonexpansive mappings in Hilbert spaces
• Viscosity approximation methods for fixed-points problems
• Asymptotic behavior of contractions in Banach spaces
• Modified Mann iterations for nonexpansive semigroups in Banach space
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
• An explicit construction of sunny nonexpansive retractions in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Construction of sunny nonexpansive retractions in Banach spaces
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
• Approximations to fixed points of contraction semigroups in hilbert spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• A strong convergence theorem for contraction semigroups in Banach spaces
• Nonexpansive retracts of Banach spaces

This page was built for publication: Strong convergence theorems of the general iterative methods for nonexpansive semigroups in Banach spaces