Temat: coincidence index - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The coincidence index for fundamentally contractible multivalued maps with nonconvex values
Autorzy:: Gabor, Dorota
Powiązania:: https://bibliotekanauki.pl/articles/1207916.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: condensing map
Fredholm operator
boundary value problem in Banach spaces
fixed point index
coincidence points
Opis:: 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.
Źródło:: Annales Polonici Mathematici; 2000, 75, 2; 143-166
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A Lefschetz-type coincidence theorem
Autorzy:: Saveliev, Peter
Powiązania:: https://bibliotekanauki.pl/articles/1205188.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Lefschetz coincidence theory
Lefschetz number
coincidence index
fixed point
multivalued map
Opis:: A Lefschetz-type coincidence theorem for two maps f,g: X → Y from an arbitrary topological space to a manifold is given: $I_{fg} = λ _{fg}$, that is, the coincidence index is equal to the Lefschetz number. It follows that if $λ_{fg} ≠ 0$ then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y Euclidean, f with acyclic fibres. It also implies certain fixed point results for multivalued maps with "point-like" (acyclic) and "sphere-like" values.
Źródło:: Fundamenta Mathematicae; 1999, 162, 1; 65-89
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

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