Fixed point index for open sets in euclidean spaces
G. Skordev (1984)
Fundamenta Mathematicae
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G. Skordev (1984)
Fundamenta Mathematicae
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Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Benkafadar, N.M., Gel'man, B.D. (1996)
Abstract and Applied Analysis
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Helga Schirmer (1984)
Fundamenta Mathematicae
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J. Bryszewski, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Helga Schirmer (1985)
Fundamenta Mathematicae
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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. ...
Andrzej Granas (1969-1970)
Séminaire Jean Leray
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Ślosarski, Mirosław (2011)
Fixed Point Theory and Applications [electronic only]
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