Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces

DOI10.1155/AAA/2006/58684zbMath1130.47036MaRDI QIDQ2491412

Tomonari Suzuki

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53748

zbMATH Keywords

strong convergenceconvergence theorem

Mathematics Subject Classification ID

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

Related Items (4)

On the common fixed points of double sequences of two-parameter nonexpansive semigroups in strictly convex Banach spaces ⋮ Characterizations of common fixed points of one-parameter nonexpansive semigroups, and convergence theorems to common fixed points ⋮ Browder's type convergence theorems for one-parameter semigroups of nonexpansive mappings in Banach spaces ⋮ Common fixed points of a subfamily of a nonexpansive periodic evolution family on a strictly convex Banach space

Cites Work

• Unnamed Item
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Nonlinear ergodic theorems and weak convergence theorems
• Approximation of fixed points of nonexpansive mappings
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Convergence theorems to common fixed points for infinite families of nonexpansive mappings in strictly convex Banach spaces
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Nonexpansive Mappings, Asymptotic Regularity and Successive Approximations
• Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Remark on a Theorem of M. A. Krasnoselski
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Fixed points of nonexpanding maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

This page was built for publication: Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces