On Normal Structure, Fixed Point Property and Contractions of Type (γ)

DOI10.2307/2047284zbMath0687.47043OpenAlexW4244735099MaRDI QIDQ4205973

Mohamed Amine Khamsi

Publication date: 1989

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047284

zbMATH Keywords

normal structureuniform convexitystrictly convexspreading modelsfinite codimensional subspacefixed points of any nonexpansive mapnonexpansive map of type (\(\gamma \) )

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (12)

Fixed point theory for almost convex functions ⋮ Products of uniformly noncreasy spaces ⋮ On the fixed point property for orbital contractions in Banach spaces ⋮ Strong asymptotic normal structure and fixed points in product spaces ⋮ Some fixed point theorems in Banach space ⋮ Fixed points of nonexpansive mappings ⋮ Weak convergence of the projection type Ishikawa iteration scheme for two asymptotically nonexpansive nonself-mappings ⋮ On Fixed Point Theorems of Nonexpansive Mappings in Product Spaces ⋮ On the super fixed point property in product spaces ⋮ Geometrical conditions in product spaces ⋮ The retractions onto the common fixed points of some families and semigroups of mappings ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

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