Fixed point theorems for Lipschitzian mappings in Banach spaces

DOI10.1016/0362-546X(95)00050-6zbMath0856.47031OpenAlexW1979910414MaRDI QIDQ4886585

Tae Hwa Kim, William A. Kirk

Publication date: 18 July 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00050-6

zbMATH Keywords

Lipschitz operatorsweakly compact convex setsasymptotically nonexpansive maps

Mathematics Subject Classification ID

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

Cites Work

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• La propriété du point fixe dans les espaces de Banach avec base inconditionelle. (The fixed point properties in Banach spaces with unconditional bases)
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Fixed Point Theorems in Product Spaces
• A Remark on Nonexpansive Mappings
• Uniformly Lipschitzian Families of Transformations in Banach Spaces
• One-local retract and common fixed point for commuting mappings in metric spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

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