Viscosity Approximation Methods for Multivalued Mappings in Banach Spaces

DOI10.1080/01630563.2012.693810zbMath1256.47045OpenAlexW2028842617MaRDI QIDQ4899098

Zuo Zhan Fei, Yun An Cui, Henryk Hudzik

Publication date: 4 January 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2012.693810

zbMATH Keywords

contractionfixed pointretractionmultivalued nonexpansive mappingweakly sequentially continuous duality mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (3)

Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces ⋮ On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces ⋮ Some results on the approximation of solutions of variational inequalities for multivalued maps on Banach spaces

Cites Work

• Transfinite methods in metric fixed-point theory
• Viscosity approximation methods for nonexpansive mappings
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Viscosity approximation methods for fixed-points problems
• Viscosity approximation methods for nonexpansive nonself-mappings
• Multi-valued contraction mappings
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Fixed point theorems for set-valued mappings of contractive type
• A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
• Strong convergence theorems for nonexpansive type and non-self multi-valued mappings
• Convergence of paths for pseudo-contractive mappings in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Multivalued nonexpansive mappings in Banach spaces

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