Geodesic
The coincidence index for fundamentally contractible multivalued maps with nonconvex values
Annales Polonici Mathematici, Tome 75 (2000) no. 2, pp. 143-166

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-75-2-143-166
Keywords: condensing map, Fredholm operator, boundary value problem in Banach spaces, fixed point index, coincidence points

Dorota Gabor 1

1 
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Dorota Gabor. The coincidence index for fundamentally contractible multivalued maps with nonconvex values. Annales Polonici Mathematici, Tome 75 (2000) no. 2, pp. 143-166. doi: 10.4064/ap-75-2-143-166

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