Convergence of iterative algorithms for multivalued mappings in Banach spaces
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Publication:1005264
DOI10.1016/j.na.2008.02.034zbMath1175.47063OpenAlexW2081008701MaRDI QIDQ1005264
Publication date: 9 March 2009
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.2008.02.034
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
- Unnamed Item
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- Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings
- Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces
- Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
- Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces
- Iterative selection methods for the common fixed point problems in a Banach space
- On Reich's strong convergence theorems for resolvents of accretive operators
- Single-valued mappings, multivalued mappings and fixed-point theorems
- On some fixed point theorems for multivalued mappings
- Transfinite methods in metric fixed-point theory
- On a Mann type implicit iteration process for continuous pseudo-contractive mappings
- Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces
- Strong convergence theorems for nonexpansive semigroup in Banach spaces
- Viscosity approximation methods for nonexpansive nonself-mappings
- Multi-valued contraction mappings
- Fixed point theorems for point-to-set mappings and the set of fixed points
- Some geometric properties related to the fixed point theory for nonexpansive mappings
- Fixed point theorems for set-valued mappings of contractive type
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Iterative Algorithms for Nonlinear Operators
- Multivalued Nonexpansive Mappings and Opial's Condition
- Convergence of Ishikawa Iterates for a Multi-Valued Mapping with a Fixed Point
- Iterative approximations for multivalued nonexpansive mappings in reflexive Banach spaces
- A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space
- Approximating Fixed Points of Nonexpansive Mappings
- Remarks on Some Fixed Point Theorems
- An Introduction to Banach Space Theory
- Strong convergence theorems for nonexpansive type and non-self multi-valued mappings
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- A fixed point theorem for set valued mappings
- Fixed points of nonexpanding maps
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Nonlinear Eigenvalue Problems and Group Invariance
- Mean Value Methods in Iteration
- Multivalued nonexpansive mappings in Banach spaces