Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations

Publication date: 28 November 2002

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1102715138

zbMATH Keywords

Fredholm integral equations initial value problems Fréchet spaces fixed point theorem continuation principle compact maps

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Fredholm integral equations (45B05)

Related Items (11)

Generalized topological essentiality and coincidence points of multivalued maps ⋮ Leray--Schauder results for inward acyclic and approximable maps defined on Fréchet spaces ⋮ Solvability for second-order three-point boundary value problems on a half-line ⋮ Existence and localization of solutions for operatorial systems defined on Cartesian product of Fréchet spaces using a new vector version of Krasnoselskii's cone compression-expansion theorem ⋮ Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space ⋮ Leray--Schauder and Krasnoselskii results for multivalued maps defined on pseudo-open subsets of a Fréchet space ⋮ Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line ⋮ Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: the projective limit approach ⋮ Fixed point theory for weakly inward Kakutani maps: The projective limit approach ⋮ A Leray-Schauder alternative for Mönch maps on closed subsets of Fréchet spaces ⋮ Infinite first order differential systems with nonlocal initial conditions

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