02646oam 2200553I 450 991078915960332120230803201704.00-429-16917-51-4665-9522-110.1201/b16137 (CKB)3710000000079099(EBL)1429455(SSID)ssj0001154541(PQKBManifestationID)11654806(PQKBTitleCode)TC0001154541(PQKBWorkID)11162979(PQKB)10561079(MiAaPQ)EBC1429455(OCoLC)865580408(EXLCZ)99371000000007909920180331h20142014 uy 0engur|n|---|||||txtccrClassification of Lipschitz mappings /Lukasz PiaseckiBoca Raton, FL :CRC Press,[2014]©20141 online resource (234 p.)Pure and applied mathematics : a series of monographs and textbooks"A Chapman & Hall book."1-4665-9521-3 Includes bibliographical references.Cover; Series; Dedication; Contents; Introduction; Chapter 1: The Lipschitz Condition; Chapter 2: Basic Facts on Banach Spaces; Chapter 3: Mean Lipschitz Condition; Chapter 4: On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings; Chapter 5: Subclasses Determined by p-averages; Chapter 6: Mean Contractions; Chapter 7: Nonexpansive Mappings in Banach Space; Chapter 8: Mean Nonexpansive Mappings; Chapter 9: Mean Lipschitzian Mappings with k > 1; Bibliography; Back CoverClassification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background in functional analysis and topology. The author focuses on a more precise classification of Lipschitzian mappings. The mean Lipschitz condition introduced by Goebel, Japón Pineda, and Sims is relatively easy to check anMonographs and textbooks in pure and applied mathematics.Mappings (Mathematics)TopologyMappings (Mathematics)Topology.234Piasecki Lukasz524792FlBoTFGFlBoTFGBOOK9910789159603321Classification of Lipschitz mappings820749UNINA