The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Displaying similar documents to “Generalized Lefschetz sets.”
The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces
Multi-invertible maps and their applications
Mirosław Ślosarski (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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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.
Locally admissible multi-valued maps
Mirosław Ślosarski (2011)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we generalize the class of admissible mappings as due by L. Górniewicz in 1976. Namely we define the notion of locally admissible mappings. Some properties and applications to the fixed point problem are presented.
Multi-valued maps of subsets of Euclidean spaces
J. Bryszewski, Lech Górniewicz (1976)
Fundamenta Mathematicae
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The multicores in metric spaces and their application in fixed point theory
Mirosław Ślosarski (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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This paper discusses the notion, the properties and the application of multicores, i.e. some compact sets contained in metric spaces.
A general coincidence theory for set-valued maps.
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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Fixed points of mapping in Klee admissible spaces
Lech Górniewicz, Mirosław Ślosarski (2007)
Control and Cybernetics
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Fixed point index theory for a class of nonacyclic multivalued maps
Zdzisław Dzedzej
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CONTENTS0. Introduction.....................................................................5I. Homology.........................................................................6II. Multivalued maps...........................................................11III. Chain approximations and index...................................15IV. Chain approximations of decompositions of maps........18V. Index of decompositions for compact polyhedra............26VI. Index of decompositions for compact...
On the Lefschetz fixed point theorem for multivalued weighted mappings
Robert Skiba (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Common fixed points for commuting and compatible maps
Ismat Beg, Akbar Azam (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Fixed point theorems of multivalued hybrid contractions and Meir-Keeler type multivalued maps are obtained in a metric space. Our results generalize corresponding results of Aubin and Siegel, Dube, Dube and Singh, Hadzic, Iseki, Jungck, Kaneko, Nadler, Park and Bae, Reich, Ray and many others.