A general coincidence theory for set-valued maps.
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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Displaying similar documents to “Multi-invertible maps and their applications”
A general coincidence theory for set-valued maps.
Multi-valued maps of subsets of Euclidean spaces
J. Bryszewski, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Turbulent maps and their ω-limit sets
F. Balibrea, C. La Paz (1997)
Annales Polonici Mathematici
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One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.
Generalized Lefschetz sets.
Ślosarski, Mirosław (2011)
Fixed Point Theory and Applications [electronic only]
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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.
On axial maps of direct product,s I
Andrzej Ehrenfeucht, Edward Grzegorek (1974)
Colloquium Mathematicae
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Automatic continuity of biseparating maps
Jesús Araujo, Krzysztof Jarosz (2003)
Studia Mathematica
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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.
On elementary maps
Jerzy Dydak (1974)
Colloquium Mathematicae
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On the théorème fondamental of J. Leray and J. Schauder
Ivar Massabò, Alfonso Vignoli (1989)
Colloquium Mathematicae
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The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
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On the fiber-preserving maps
Jingyal Pak (1978)
Colloquium Mathematicae
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Lifting vector-valued maps
Nguyen Van Khue (1985)
Colloquium Mathematicae
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Self-similar centralizers of circle maps.
Cowen, Robert (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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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.
On the structure of positive maps between matrix algebras
Władysław A. Majewski, Marcin Marciniak (2007)
Banach Center Publications
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The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.
Metrizable space of multivalued maps
Mirosław Ślosarski (2021)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps. Moreover, we study properties of this space and give a few practical applications of the new metric.