The methods of Hilbert spaces and structure of the fixed-point set of Lipschitzian mapping

DOI10.1155/2009/586487zbMath1193.47055OpenAlexW2027811408WikidataQ59220032 ScholiaQ59220032MaRDI QIDQ1035116

Jarosław Górnicki

Publication date: 10 November 2009

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

Full work available at URL: https://eudml.org/doc/45695

zbMATH Keywords

fixed pointsLipschitzian mappingsretractstrongly ergodic matrix

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the structure of fixed-point sets of uniformly Lipschitzian mappings
• Remarks on the structure of the fixed-point sets of uniformly Lipschitzian mappings in uniformly convex Banach spaces
• A remark on fixed point theorems for Lipschitzian mappings
• Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
• Asymptotic behavior of nonexpansive mappings
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
• A fixed point theorem for transformations whose iterates have uniform Lipschitz constant