A fixed point theorem for Frechet spaces

DOI10.1016/0022-247X(80)90206-1zbMath0448.47036MaRDI QIDQ1146870

Simeon Reich

Publication date: 1980

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

zbMATH Keywords

weakly inward map

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On generalization of Darbo-Sadovskii type fixed point theorems for iterated mappings in Fréchet spaces ⋮ Ordinary differential equations on closed subsets of locally convex spaces with applications to fixed point theorems ⋮ Fixed point theory for weakly inward Kakutani maps: The projective limit approach ⋮ A continuation theory for weakly inward maps ⋮ Fixed-point theory for multivalued mappings in completely regular topological vector spaces

Cites Work

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• On fixed point theorems obtained from existence theorems for differential equations
• Fixed points in locally convex spaces
• Sample solutions of stochastic ordinary differential equations^∗
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions