Fixed-point theorems for countably condensing maps on Fréchet spaces

DOI10.1016/S0898-1221(01)00207-3zbMath0990.47048MaRDI QIDQ5948848

Donal O'Regan, Ravi P. Agarwal

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Fréchet spacesfixed point theoremcountably condensing operatorsVolterra and Fredholm typeVolterra integral inclusions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Approximate Fixed Point Theory for Countably Condensing Maps and Multimaps and Applications ⋮ Existence of solutions for Volterra integral inclusions ⋮ Fixed point theory for admissible multimaps defined on closed subsets of Fréchet spaces

Cites Work

• Upper semicontinuity of Nemytskij operators
• Random fixed-point theorems and approximation in cones
• Fixed points for set-valued mappings in locally convex linear topological spaces
• Integral inclusions of upper semi-continuous or lower semi-continuous type
• A multiplicity fixed point theorem in Fréchet spaces
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