On a class of multi-valued vector fields in Banach spaces
J. Bryszewski (1977)
Fundamenta Mathematicae
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Displaying similar documents to “On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.”
On a class of multi-valued vector fields in Banach spaces
Discontinuous wave equations and a topological degree for some classes of multi-valued mappings
Michal Fečkan, Richard Kollár (1999)
Applications of Mathematics
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The Leray-Schauder degree is extended to certain multi-valued mappings on separable Hilbert spaces with applications to the existence of weak periodic solutions of discontinuous semilinear wave equations with fixed ends.
The topological degree and fixed points of DC-mappings
W. Kryszewski, Bogdan Przeradzki (1985)
Fundamenta Mathematicae
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The product formula.
Genaro López Acedo (1991)
Collectanea Mathematica
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A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor...
A Kakutani type coincidence theorem
Helga Schirmer (1970)
Fundamenta Mathematicae
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Topology and non-linear functional equations
Felix Browder (1968)
Studia Mathematica
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A degree for a class of acyclic-valued vector fields in Banach spaces
M. Furi, M. Martelli (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fixed Points of n-Valued Multimaps of the Circle
Robert F. Brown (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established...
A fixed point theorem for a class of multi-valued continuously differentiable maps
Gilles Fournier, Donald Violette (1987)
Annales Polonici Mathematici
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The multi-morphisms and their properties and applications
Mirosław Ślosarski (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper a new class of multi-valued mappings (multi-morphisms) is defined as a version of a strongly admissible mapping, and its properties and applications are presented.