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The coincidence index for fundamentally contractible multivalued maps with nonconvex values

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Gabor D.

Annales Polonici Mathematici

2000

tom 75

nr 2

143-166

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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1 Annales Polonici Mathematici

1 Gabor D.

1 2000

Wyniki wyszukiwania

The coincidence index for fundamentally contractible multivalued maps with nonconvex values