On the fixed-point set of a family of relatively nonexpansive and generalized nonexpansive mappings

DOI10.1155/2010/414232zbMath1203.47027OpenAlexW2013287495WikidataQ59250033 ScholiaQ59250033MaRDI QIDQ963590

Satit Saejung, Weerayuth Nilsrakoo

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225423

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
• Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
• A new projection and convergence theorems for the projections in Banach spaces
• Block Iterative Methods for a Finite Family of Generalized Nonexpansive Mappings in Banach Spaces
• Inequalities in Banach spaces with applications
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
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