A multiplicity fixed point theorem in Fréchet spaces

DOI10.4171/ZAA/984zbMath0970.47044OpenAlexW2036835511MaRDI QIDQ5926119

Donal O'Regan

Publication date: 28 February 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48920

zbMATH Keywords

multiplicityfixed point theorymultivalued hemicompact mappings

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10)

Related Items

Single and twin coincidence points for multivalued maps in Fréchet spaces ⋮ Fixed-point theorems for countably condensing maps on Fréchet spaces ⋮ Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: the projective limit approach ⋮ Asymptotic boundary value problems in Banach spaces ⋮ Fixed point theory for admissible multimaps defined on closed subsets of Fréchet spaces

Cites Work

• Random fixed-point theorems and approximation in cones
• Fixed points for set-valued mappings in locally convex linear topological spaces
• Approximation of solutions of nonlinear operator equation on the half line
• A note on the existence of multiple fixed points for multivalued maps with applications
• A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
• Fixed point theorems for condensing multivalued mappings on a locally convex topological space
• Fixed points of approximable maps
• Existence of Fixed Points of Positive k -Set-Contractive Maps as Consequences of Suitable Boundary Conditions