A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps.
Agarwal, Ravi P., Dshalalow, Jewgeni H., O'Regan, Donal (2004)
International Journal of Mathematics and Mathematical Sciences
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Agarwal, Ravi P., Dshalalow, Jewgeni H., O'Regan, Donal (2004)
International Journal of Mathematics and Mathematical Sciences
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O'Regan, Donal (2004)
Fixed Point Theory and Applications [electronic only]
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Agarwal, Ravi P., O'Regan, Donal (2003)
Abstract and Applied Analysis
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Grzegorz Gabor (1995)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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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...
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Gajić, Ljiljana (1996)
Novi Sad Journal of Mathematics
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O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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Agarwal, R.P., O'Regan, Donal (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Włodarczyk, K., Klim, D. (2005)
Fixed Point Theory and Applications [electronic only]
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Kim, In-Sook (2004)
Fixed Point Theory and Applications [electronic only]
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Wojciech Kryszewski
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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...
Won Kyu Kim (1995)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we will give a new fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space.