Fixed point characterization of completeness on lattices for relatively isotone mappings
Jiří Klimeš (1984)
Archivum Mathematicum
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Jiří Klimeš (1984)
Archivum Mathematicum
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Klaus Heiner Kamps (1978)
Colloquium Mathematicae
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Katsuya Yokoi (2015)
Annales Polonici Mathematici
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This paper is concerned with strong chain recurrence introduced by Easton. We investigate the depth of the transfinite sequence of nested, closed invariant sets obtained by iterating the process of taking strong chain recurrent points, which is a related form of the central sequence due to Birkhoff. We also note the existence of a Lyapunov function which is decreasing off the strong chain recurrent set. As an application, we give a necessary and sufficient condition for the coincidence...
Podbrdský, Pavel, Pyrih, Pavel (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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J. Mioduszewski (1971)
Colloquium Mathematicae
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Heikkilä, S. (2010)
Fixed Point Theory and Applications [electronic only]
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Jiří Klimeš (1985)
Archivum Mathematicum
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D. W. Hajek, R. G. Wilson (1982)
Matematički Vesnik
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Yong Su (2019)
Kybernetika
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Mas et al. adapted the notion of smoothness, introduced by Godo and Sierra, and discussed two kinds of smooth implications (a discrete counterpart of continuous fuzzy implications) on a finite chain. This work is devoted to exploring the formal relations between smoothness and other six properties of implications on a finite chain. As a byproduct, several classes of smooth implications on a finite chain are characterized.