Results 81 to 90 of about 128 (122)

An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem

open access: yes
The purpose of this article is to introduce the concept of 2-fuzzy n-normed linear space or fuzzy n-normed linear space of the set of all fuzzy sets of a non-empty set.
Park, C, Alaca, C
core  

Rotund Norms, Clarke Subdifferentials and Extensions of Lipschitz Functions

open access: yes, 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   +3 more
core  

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

open access: yesOpen Mathematics, 2010
Kadets Vladimir, Shepelska Varvara
doaj   +1 more source

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

open access: yesJ Optim Theory Appl
Daniilidis A   +2 more
europepmc   +1 more source

Another approach to characterizations of generalized triangle inequalities in normed spaces

open access: yesOpen Mathematics, 2014
Izumida Tamotsu   +2 more
doaj   +1 more source

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

open access: yesBanach J Math Anal
Dilworth S, Kutzarova D, Motakis P.
europepmc   +1 more source

G-narrow operators and G-rich subspaces

open access: yesOpen Mathematics, 2013
Ivashyna Tetiana
doaj   +1 more source

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)

open access: yes, 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  

Daugavet centers and direct sums of Banach spaces

open access: yesOpen Mathematics, 2010
Bosenko Tetiana
doaj   +1 more source

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)

open access: yes, 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  

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