Leray-Schauder type results for multivalued contractions

DOI10.12775/TMNA.1994.026zbMath0829.47047OpenAlexW20646292MaRDI QIDQ1345805

Marlène Frigon, Andrzej Granas

Publication date: 21 January 1996

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1994.026

zbMATH Keywords

differential inclusiontopological transversalitymultivalued contractionsnonlinear Leray- Schauder alternative

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11)

Related Items (14)

Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions ⋮ Ulam-Hyers Stability for Operatorial Equations ⋮ Inward contractions on metric spaces ⋮ Preservation of the existence of zeros in a family of set-valued functionals and some consequences ⋮ Coincidence preservation for a one-parameter family of pairs of Zamfirescu-type multi-valued mappings ⋮ Existence theorems for nonlinear problems by continuation methods ⋮ Zero preservation for a family of multivalued functionals, and applications to the theory of fixed points and coincidences ⋮ Existence and data dependence of fixed points and strict fixed points for contractive-type multivalued operators ⋮ Fixed point results for multivalued contractions on a metric space with a graph ⋮ Fuzzy contractive maps and fuzzy fixed points ⋮ On fixed point theorems of Leray–Schauder type ⋮ Fixed points for non-self operators and domain invariance theorems ⋮ Fixed point theory for a new type of contractive multivalued operators ⋮ Fixed point results for generalized contractions in gauge spaces and applications

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