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Displaying similar documents to “Fixed point index theory for a class of nonacyclic multivalued maps”

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.

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.

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.

On the Conley index in Hilbert spaces - a multivalued case

Zdzisław Dzedzej (2007)

Banach Center Publications

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We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.

Homological methods in fixed-point theory of multi-valued maps

Lech Górniewicz

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CONTENTS  Introduction................................................................. 5I. HOMOLOGY  1. Preliminaries............................................................. 7  2. Maps in spaces of finite type............................................. 9  3. The Čech homology functor with compact carriers........................... 11  4. Vietoris maps............................................................. 13  5. Homology of open subsets of Euclidean spaces.................................

Realization of fixed point sets of relative maps

Moo Ha Woo, Xuezhi Zhao (2011)

Fundamenta Mathematicae

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Given a relative map f: (X,A) → (X,A) on a pair (X,A) of compact polyhedra and a closed subset Y of X, we shall give some criteria for Y to be the fixed point set of some map relatively homotopic to f.