A fixed point index for bimaps

Helga Schirmer

Displaying similar documents to “A fixed point index for bimaps”

The least number of fixed points of bimaps

Helga Schirmer (1991)

Fundamenta Mathematicae

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Fixed point index for open sets in euclidean spaces

G. Skordev (1984)

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An index and a Nielsen number for n-valued multifunctions

Helga Schirmer (1984)

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The Leray-Schauder index and the fixed point theory for arbitrary ANRs

Andrzej Granas (1972)

Bulletin de la Société Mathématique de France

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The coincidence index for fundamentally contractible multivalued maps with nonconvex values

Dorota Gabor (2000)

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. ...

A minimum theorem for n-valued multifunctions

Helga Schirmer (1985)

Fundamenta Mathematicae

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Fixed point index theory for a class of nonacyclic multivalued maps

Zdzisław Dzedzej

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CONTENTS0. Introduction.....................................................................5I. Homology.........................................................................6II. Multivalued maps...........................................................11III. Chain approximations and index...................................15IV. Chain approximations of decompositions of maps........18V. Index of decompositions for compact polyhedra............26VI. Index of decompositions for compact...

The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces

Gilles Fournier, Lech Górniewicz (1976)

Fundamenta Mathematicae

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Two topological definitions of a Nielsen number for coincidences of noncompact maps.

Andres, Jan, Väth, Martin (2004)

Fixed Point Theory and Applications [electronic only]

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Multi-valued maps of subsets of Euclidean spaces

J. Bryszewski, Lech Górniewicz (1976)

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On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.

Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2002)

Abstract and Applied Analysis

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