A general coincidence theory for set-valued maps.
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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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.
Tarafdar, E.U., Thompson, H.B. (1985)
International Journal of Mathematics and Mathematical Sciences
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Frigon, M. (2010)
Fixed Point Theory and Applications [electronic only]
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Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Thunberg, Hans (1994)
Experimental Mathematics
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L. Rybiński (1985)
Annales Polonici Mathematici
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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.
Viktor Avrutin, Michael Schanz, Björn Schenke (2012)
ESAIM: Proceedings
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Knowledge about the behavior of discontinuous piecewise-linear maps is important for a wide range of applications. An efficient way to investigate the bifurcation structure in 2D parameter spaces of such maps is to detect specific codimension-2 bifurcation points, called organizing centers, and to describe the bifurcation structure in their neighborhood. In this work, we present the organizing centers in the 1D discontinuous piecewise-linear...
Stewart Welsh (1998)
Colloquium Mathematicae
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Xavier Buff, Thomas Gauthier (2013)
Bulletin de la Société Mathématique de France
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We prove that any Lattès map can be approximated by strictly postcritically finite rational maps which are not Lattès maps.