Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces
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Publication:878514
DOI10.1016/j.na.2006.03.023zbMath1123.47047OpenAlexW2073979903MaRDI QIDQ878514
Publication date: 26 April 2007
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.2006.03.023
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- 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
- Approximate selections, best approximations, fixed points, and invariant sets
- Strong convergence of approximating fixed points for nonexpansive nonself-mappings in Banach spaces
- Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Multi-valued contraction mappings
- Inequalities in Banach spaces with applications
- Strong convergence theorems for nonexpansive type and non-self multi-valued mappings
- 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
- Metric fixed point theory for multivalued mappings
- Fixed points of nonexpanding maps
- Multivalued nonexpansive mappings in Banach spaces
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