Results 81 to 90 of about 118 (114)

Rotund Norms, Clarke Subdifferentials and Extensions of Lipschitz Functions

, 1998
. We show that a certain condition regarding the separation of points by Lipschitz functions is useful in extending a given Lipschitz function from a subspace of a Banach space to the whole space so that the extension function has maximal Clarke ...
John Giles, Jon Borwein, Jon Vanderwerff, Jon V   +3 more
core  

MR2580162 (2011b:46030) Martinón, Antonio A note on measures of nonconvexity. Nonlinear Anal. 72 (2010), no. 6, 3108–3111. (Reviewer: Diana Caponetti), 46B20 (52A05 54B20)

, 2010
Eisenfeld and Lakshmikantham [Yokohama Math. J. 24 (1976), no.1-2, 133-140; MR0425704 (54$\#$13657)] defined the measure of nonconvexity $\alpha(C)$ of a subset $C$ of a Banach space $X$ to be the Hausdorff distance $h(C, {\rm conv} C)$ between the ...
CAPONETTI, Diana
core  

MR2370688 (2009e:46013) Navarro-Pascual, J. C.; Mena-Jurado, J. F.; Sánchez-Lirola, M. G. A two-dimensional inequality and uniformly continuous retractions. J. Math. Anal. Appl. 339 (2008), no. 1, 719--734. (Reviewer: Diana Caponetti) 46B20 (46E40)

, 2009
Let X be an infinite-dimensional uniformly convex Banach space and let BX and SX be its closed unit ball and unit sphere, respectively. The main result of the paper is that the identity mapping on BX can be expressed as the mean of n uniformly ...
CAPONETTI, Diana
core  

MR2524371 (2010g:47114) Domínguez Benavides, T.; García Falset, J.; Llorens-Fuster, E.; Lorenzo Ramírez, P. Fixed point properties and proximinality in Banach spaces. Nonlinear Anal. 71 (2009), no. 5-6, 1562–1571. (Reviewer: Diana Caponetti), 47H10 (46B20)

, 2010
In the paper under review the authors mainly investigate the existence of a fixed point for nonexpansive mappings in the general setting of strictly $L(\tau)$ Banach spaces. They consider a linear topology $\tau$ on a Banach space $(X, \|\cdot \|)$,
CAPONETTI, Diana
core  

Sums of SCD sets and their applications to SCD operators and narrow operators

Open Mathematics, 2010
Kadets Vladimir, Shepelska Varvara
doaj   +1 more source

Another approach to characterizations of generalized triangle inequalities in normed spaces

Open Mathematics, 2014
Izumida Tamotsu, Mitani Ken-Ichi, Saito Kichi-Suke   +2 more
doaj   +1 more source

ABB Theorems: Results and Limitations in Infinite Dimensions. [PDF]

J Optim Theory Appl
Daniilidis A, De Bernardi CA, Miglierina E.   +2 more
europepmc   +1 more source

G-narrow operators and G-rich subspaces

Open Mathematics, 2013
Ivashyna Tetiana
doaj   +1 more source

2-Rotund norms for unconditional and symmetric sequence spaces. [PDF]

Banach J Math Anal
Dilworth S, Kutzarova D, Motakis P.
europepmc   +1 more source

Daugavet centers and direct sums of Banach spaces

Open Mathematics, 2010
Bosenko Tetiana
doaj   +1 more source