scholarly journals Weak compactness and fixed point property for affine bi-Lipschitz maps

2021 ◽  
Vol 494 (2) ◽  
pp. 124647
Author(s):  
Cleon S. Barroso ◽  
Valdir Ferreira
Keyword(s):  
Fixed Point ◽  
Weak Compactness ◽  
Fixed Point Property ◽  
Point Property ◽  
Lipschitz Maps

scholarly journals Weak compactness is not equivalent to the fixed point property in c

2015 ◽  
Vol 431 (1) ◽  
pp. 471-481 ◽  
Author(s):  
Torrey Gallagher ◽  
Chris Lennard ◽  
Roxana Popescu
Keyword(s):  
Fixed Point ◽  
Weak Compactness ◽  
Fixed Point Property ◽  
Point Property

scholarly journals Weak compactness and fixed point property for affine mappings

2004 ◽  
Vol 209 (1) ◽  
pp. 1-15 ◽  
Author(s):  
T.Domı́nguez Benavides ◽  
M.A.Japón Pineda ◽  
S. Prus
Keyword(s):  
Fixed Point ◽  
Weak Compactness ◽  
Fixed Point Property ◽  
Point Property ◽  
Affine Mappings

scholarly journals Brush spaces and the fixed point property

2011 ◽  
Vol 158 (8) ◽  
pp. 1085-1089 ◽  
Author(s):  
M.M. Marsh ◽  
J.R. Prajs
Keyword(s):  
Fixed Point ◽  
Fixed Point Property ◽  
Point Property

scholarly journals Towards the fixed point property for superreflexive spaces

2001 ◽  
Vol 64 (3) ◽  
pp. 435-444 ◽  
Author(s):  
Andrzej Wiśnicki
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Unit Sphere ◽  
Convex Set ◽  
Nonexpansive Mappings ◽  
Fixed Point Property ◽  
Point Property ◽  
Geometrical Condition

A Banach space X is said to have property (Sm) if every metrically convex set A ⊂ X which lies on the unit sphere and has diameter not greater than one can be (weakly) separated from zero by a functional. We show that this geometrical condition is closely connected with the fixed point property for nonexpansive mappings in superreflexive spaces.

scholarly journals A product space with the fixed point property

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Helga Fetter Nathansky ◽  
Enrique Llorens-Fuster
Keyword(s):  
Fixed Point ◽  
Product Space ◽  
Fixed Point Property ◽  
Point Property
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