Coincidence Points of Function Pairs Based on Compactness Properties

DOI10.1017/S0017089502020037zbMath1008.47059WikidataQ57363465 ScholiaQ57363465MaRDI QIDQ4551976

Martin Väth

Publication date: 28 August 2002

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existence theoremsinclusionsmultivalued functionscompactness conditionsfixed point theorems of Darbo type\(0\)-epi mapshomotopic perturbationssurjective properties

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60) Perturbations of nonlinear operators (47H14)

Related Items (9)

Fixed point theorems for the functions having monotone property or comparable property in the product spaces ⋮ Merging of degree and index theory ⋮ Coepi maps and generalizations of the Hopf extension theorem. ⋮ Some remarks on measures of noncompactness and retractions onto spheres ⋮ On the connection of degree theory and 0-epi maps ⋮ A characterization of 0-epi maps with a degree ⋮ Stably solvable maps are unstable under small perturbations ⋮ Some coincidence point results in the product space for solutions of the fuzzy of ordinary differential equations and integral equations systems ⋮ Coincidence point and common fixed point theorems in the product spaces of mixed-monotonically complete quasi-ordered metric spaces and their applications to the systems of integral equations and ordinary differential equations

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