The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
Similarity:
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
Similarity:
L. Górniewicz (1975)
Fundamenta Mathematicae
Similarity:
Mirosław Ślosarski (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Similarity:
In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.
Nguyen Van Khue (1985)
Colloquium Mathematicae
Similarity:
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Similarity:
Ślosarski, Mirosław (2011)
Fixed Point Theory and Applications [electronic only]
Similarity:
G. Skordev (1984)
Fundamenta Mathematicae
Similarity:
Grzegorz Gabor (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
Introduction Many authors have developed the topological degree theory and the fixed point theory for set-valued maps using homological techniques (see for example [19, 28, 27, 16]). Lately, an elementary technique of single-valued approximation (on the graph) (see [11, 1, 13, 5, 9, 2, 6, 7]) has been used in constructing the fixed point index for set-valued maps with compact values (see [21, 20, 4]). In [20, 4] authors consider set-valued...
Andrzej Dawidowicz (1987)
Fundamenta Mathematicae
Similarity:
Jesús Araujo, Krzysztof Jarosz (2003)
Studia Mathematica
Similarity:
We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.
Wojciech Kryszewski
Similarity:
SummaryThe theory of topological degree of set-valued maps determined by morphisms, i.e. maps with values which are continuous images of almost acyclic sets, is presented, together with some of its applications.In the first part, morphisms defined on finite-dimensional Euclidean manifolds are considered and the integer-valued degree is introduced by means of the Eilenberg-Montgomery-Górniewicz method based on the Vietoris-Begle-Sklyarenko theorem and using the approach of Dold in terms...
Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
Similarity:
J. Bryszewski (1977)
Fundamenta Mathematicae
Similarity:
Ivar Massabò, Alfonso Vignoli (1989)
Colloquium Mathematicae
Similarity: