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

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. ...

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...