Fixed points and proximate fixed points
T. B. Muenzenherger, R. E. Smithson (1968)
Fundamenta Mathematicae
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T. B. Muenzenherger, R. E. Smithson (1968)
Fundamenta Mathematicae
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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.
Charles D. Horvath (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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E. Michael (1979)
Compositio Mathematica
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Richard Datko (1973)
Fundamenta Mathematicae
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Salvatore A. Marano (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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For a class of multivalued contractions with nonclosed, nonconvex values, the set of all fixed points is proved to be nonempty and arcwise connected. Two applications are then developed. In particular, one of them is concerned with some properties of the set of all classical trajectories corresponding to continuous controls for a given nonlinear control system.
Kuo, Tian-Yuan, Huang, Young-Ye, Jeng, Jyh-Chung, Shih, Chen-Yuh (2006)
Fixed Point Theory and Applications [electronic only]
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