On the solvability of systems of non-convex inclusions in Banach spaces

DOI10.1007/BF01764135zbMath0754.47039WikidataQ96744862 ScholiaQ96744862MaRDI QIDQ1191395

Pietro Zecca, Giuseppe Conti, Wojciech Kryszewski

Publication date: 27 September 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

set-valued mapstopological degreeAlexander-Spanier cohomologytrace homomorphismadmissible mapsDold's techniquefixed points of fiber-preserving mapsperiodic solutions of differential systemsVietoris pair

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11)

Related Items (3)

Systems of inclusions involving Fredholm operators of nonnegative index and nonconvex-valued maps ⋮ Infinite-dimensional topological degree for systems of nonconvex inclusions ⋮ Acyclicity of solution sets to functional inclusions

Cites Work

• On the solution sets of differential inclusions
• The fixed point transfer of fiber-preserving maps
• The fixed point index of fibre-preserving maps
• Lefschetz fixed point theorems for a new class of multi-valued maps
• The Existence of Periodic Solutions to Nonautonomous Differential Inclusions
• Multi-valued maps of subsets of Euclidean spaces
• On a class of multi-valued vector fields in Banach spaces
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