Some remarks on compact maps in Banach spaces

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.

A New Proof Of Belousov's Theorem For A Special Law Of Quasigroup Operations

Svetozar Milić (1971)

Publications de l'Institut Mathématique

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Nonlinear essential maps of Mönch, 1-set contractive demicopmact and monotone ${(S)}_{+}$ type.

Agarwal, Ravi P., O'Regan, Donal (2001)

Journal of Applied Mathematics and Stochastic Analysis

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