Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces
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Publication:2444825
DOI10.1186/1687-1812-2013-61zbMath1304.47077OpenAlexW2129210545WikidataQ59293410 ScholiaQ59293410MaRDI QIDQ2444825
Publication date: 11 April 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-61
Hilbert spacesproximinal sets\(k\)-strictly pseudocontractive-type mappingsnonexpansive-type mappingspseudocontractive-type mappings
Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Unnamed Item
- Fixed points of multivalued nonexpansive mappings in Banach spaces
- Fixed point theory for a class of generalized nonexpansive mappings
- Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces
- Erratum to ``Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces [Comput. Math. Appl. 54 (2007) 872-877]
- On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- Multi-valued contraction mappings
- SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS
- Multivalued Nonexpansive Mappings and Opial's Condition
- Convergence of Ishikawa Iterates for a Multi-Valued Mapping with a Fixed Point
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Metric projections and the differentiability of distance functions
- Martingale Representation in Uniformly Convex Spaces
- A fixed point theorem for set valued mappings
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
