On the uniqueness of the fixed point index on differentiable manifolds.
Furi, Massimo, Pera, Maria Patrizia, Spadini, Marco (2004)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “The Leray-Schauder index and the fixed point theory for arbitrary ANRs”
On the uniqueness of the fixed point index on differentiable manifolds.
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The coincidence index for fundamentally contractible multivalued maps with nonconvex values
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Annales Polonici Mathematici
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We study a coincidence problem of the form A(x) ∈ ϕ (x), where A is a linear Fredholm operator with nonnegative index between Banach spaces and ϕ is a multivalued A-fundamentally contractible map (in particular, it is not necessarily compact). The main tool is a coincidence index, which becomes the well known Leray-Schauder fixed point index when A=id and ϕ is a compact singlevalued map. An application to boundary value problems for differential equations in Banach spaces is given. ...
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Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)
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Marian Mrozek (1989)
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Fundamenta Mathematicae
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Marian Mrozek, James Reineck, Roman Srzednicki (1999)
Banach Center Publications
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In this note we present the main ideas of the theory of the Conley index over a base space introduced in the papers [7, 8]. The theory arised as an attempt to solve two questions concerning the classical Conley index. In the definition of the index, the exit set of an isolating neighborhood is collapsed to a point. Some information is lost on this collapse. In particular, topological information about how a set sits in the phase space is lost. The first question addressed is how to retain...
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Two topological definitions of a Nielsen number for coincidences of noncompact maps.
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Fixed Point Theory and Applications [electronic only]
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Väth, Martin (2006)
Fixed Point Theory and Applications [electronic only]
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