Asymptotic fixed-point theorems and stability

DOI10.1016/0022-247X(74)90034-1zbMath0284.54027MaRDI QIDQ1845232

Heinz-Otto Peitgen

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (5)

70 Years of asymptotic fixed point theory ⋮ Repulsive fixed points of multi-valued transformations and the fixed point index ⋮ A fixed point theorem for α-condensing maps on a sphere ⋮ On some fixed point principles for cones in linear normed spaces ⋮ On the Lefschetz Number for Iterates of Continuous Mappings

Cites Work

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• The existence of periodic solutions of \(f'(x)=-\alpha f(x-1)(1+f(x))\)
• Die Homoiomorphie der kompakten konvexen Mengen im Hilbertschen Raum
• Another generalization of the Schauder fixed point theorem
• A further generalization of the Schauder fixed point theorem
• The fixed point index for local condensing maps
• A geometric approach to the fixed point index
• Über die verallgemeinerten Fixpunktindizes von Iterierten verdichtender Abbildungen
• An extension of Tietze's theorem
• Some extension theorems for continuous functions
• Essential and Non Essential Fixed Points
• Essential Sets and Fixed Points
• Some Topological Properties of Convex Sets

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