Strong convergence of approximating fixed points for nonexpansive nonself-mappings in Banach spaces
From MaRDI portal
Publication:1288520
DOI10.2996/kmj/1138043939zbMath0928.47040OpenAlexW2046441506MaRDI QIDQ1288520
Publication date: 20 January 2000
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2996/kmj/1138043939
nonexpansive mappingreflexive Banach spacefixed point setfixed point propertyuniformly Gâteaux differentiable normstrictly convex Banach spaceinwardness condition
Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Strong convergence of an iterative algorithm for nonself multimaps in Banach spaces ⋮ Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces ⋮ Viscosity approximation methods for nonexpansive multimaps in Banach spaces ⋮ Browder's convergence theorem for multivalued mappings in Banach spaces without the endpoint condition ⋮ Convergence of a viscosity iterative method for multivalued nonself-mappings in Banach spaces ⋮ Strong convergence results for nonself multimaps in Banach spaces ⋮ Strong convergence of approximants to best proximity points of nonself nonexpansive mappings
Cites Work
- Strong convergence theorems for accretive operators in Banach spaces
- On Reich's strong convergence theorems for resolvents of accretive operators
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Product formulas, nonlinear semigroups, and accretive operators
- On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
- Geometry of Banach spaces. Selected topics
- Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Fixed points of condensing functions
- Inequalities in Banach spaces with applications
- An iterative procedure for constructing zeros of accretive sets in Banach spaces
- Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces
- Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
- Fixed Point Theorem for Nonexpansive Semigroups on Banach Space
- Strong convergence theorems for nonexpansive nonself-mappings
- Approximating curves of nonexpansive nonself-mappings in Banach spaces
- Convergence, resolvent consistency, and the fixed point property for nonexpansive mappings
- Semicontractive and semiaccretive nonlinear mappings in Banach spaces
- Fixed points of nonexpanding maps
- The Geometry of Banach Spaces. Smoothness
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Strong convergence of approximating fixed points for nonexpansive nonself-mappings in Banach spaces
