Higher-order Nielsen numbers.
Saveliev, Peter (2005)
Fixed Point Theory and Applications [electronic only]
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Saveliev, Peter (2005)
Fixed Point Theory and Applications [electronic only]
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Vendrúscolo, Daniel (2006)
Fixed Point Theory and Applications [electronic only]
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Andres, Jan, Väth, Martin (2004)
Fixed Point Theory and Applications [electronic only]
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Wong, Peter (2004)
Fixed Point Theory and Applications [electronic only]
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Jerzy Jezierski (1990)
Fundamenta Mathematicae
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Koschorke, Ulrich (2006)
Fixed Point Theory and Applications [electronic only]
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R. Dobreńko, Z. Kucharski (1990)
Fundamenta Mathematicae
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Jezierski, Jerzy (2006)
Fixed Point Theory and Applications [electronic only]
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Marcio Fenille (2014)
Open Mathematics
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We construct an epsilon coincidence theory which generalizes, in some aspect, the epsilon fixed point theory proposed by Robert Brown in 2006. Given two maps f, g: X → Y from a well-behaved topological space into a metric space, we define µ ∈(f, g) to be the minimum number of coincidence points of any maps f 1 and g 1 such that f 1 is ∈ 1-homotopic to f, g 1 is ∈ 2-homotopic to g and ∈ 1 + ∈ 2 < ∈. We prove that if Y is a closed Riemannian manifold, then it is possible to attain µ...
Andrei Borisovich, Zygfryd Kucharski, Wacław Marzantowicz (1999)
Banach Center Publications
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We prove an existence and multiplicity result for solutions of a nonlinear Urysohn type equation (2.14) by use of the Nielsen and degree theory in an annulus in the function space.
Helga Schirmer (1991)
Fundamenta Mathematicae
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Robert Brown (1999)
Banach Center Publications
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The study of fixed points of continuous self-maps of compact manifolds involves geometric topology in a significant way in topological fixed point theory. This survey will discuss some of the questions that have arisen in this study and indicate our present state of knowledge, and ignorance, of the answers to them. We will limit ourselves to the statement of facts, without any indication of proof. Thus the reader will have to consult the references to find out how geometric topology...