scholarly journals The polar cone of the set of monotone maps

2014 ◽  
Vol 143 (2) ◽  
pp. 781-787
Author(s):  
Fabio Cavalletti ◽  
Michael Westdickenberg
Keyword(s):  
Polar Cone ◽  
Monotone Maps

Characterizations of nonsmooth generalized polarly cone-monotone maps

2005 ◽  
Vol 42 (4) ◽  
pp. 445-458
Author(s):  
Vsevolod Ivanov Ivanov
Keyword(s):  
Dimensional Space ◽  
Higher Order ◽  
Directional Derivatives ◽  
Finite Dimensional Space ◽  
Polar Cone ◽  
Finite Dimensional ◽  
Quasimonotone Maps ◽  
Monotone Maps ◽  
Different Types ◽  
Dini Directional Derivatives

In this paper we consider different types of generalized cone-mono-tone maps: polarly C-monotone, strictly polarly C-monotone, strongly polarly C-monotone, polarly C-pseudomonotone, strictly polarly C-pseudomonotone and polarly C-quasimonotone maps, where C is a cone in a finite-dimensional space Rm. We characterize these maps in the case when they are radially continuous with respect to the positive polar cone C+ of the cone C, generalizing some well known results. In the obtained theorems we use first and higher-order lower Dini directional derivatives.

scholarly journals Monotone maps on dendrites and their induced maps

2016 ◽  
Vol 204 ◽  
pp. 121-134 ◽  
Author(s):  
Haithem Abouda ◽  
Issam Naghmouchi
Keyword(s):  
Monotone Maps ◽  
Induced Maps

scholarly journals Monotone maps, the likeness relation and G-structures

2008 ◽  
Vol 155 (17-18) ◽  
pp. 2031-2040
Author(s):  
Daniel Cichoń ◽  
Paweł Krupski ◽  
Krzysztof Omiljanowski
Keyword(s):  
Monotone Maps

ESSENTIAL ENTROPY-CARRYING HORSESHOES AS SET LIMITS

2012 ◽  
Vol 22 (08) ◽  
pp. 1250195 ◽  
Author(s):  
STEVEN M. PEDERSON
Keyword(s):  
Topological Entropy ◽  
Convergent Sequence ◽  
Invariant Set ◽  
Invariant Sets ◽  
Piecewise Monotone ◽  
Interval Maps ◽  
Monotone Map ◽  
Monotone Maps

This paper studies the set limit of a sequence of invariant sets corresponding to a convergent sequence of piecewise monotone interval maps. To do this, the notion of essential entropy-carrying set is introduced. A piecewise monotone map f with an essential entropy-carrying horseshoe S(f) and a sequence of piecewise monotone maps [Formula: see text] converging to f is considered. It is proven that if each gi has an invariant set T(gi) with at least as much topological entropy as f, then the set limit of [Formula: see text] contains S(f).

Sign in / Sign up

Export Citation Format

Share Document