Results 11 to 20 of about 509 (167)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

Fixed points and selections of set-valued maps on spaces with convexity

International Journal of Mathematics and Mathematical Sciences, 2000
We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex
Peter Saveliev
doaj   +1 more source

Approximate Benson efficient solutions for set-valued equilibrium problems

Journal of Inequalities and Applications, 2020
In locally convex Hausdorff topological vector spaces, the approximate Benson efficient solution is proposed for set-valued equilibrium problems and its relationship to the Benson efficient solution is discussed.
Shasha Hu, Yihong Xu, Zhichao Niu
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Mazur spaces

International Journal of Mathematics and Mathematical Sciences, 1981
A Mazur space is a locally convex topological vector space X such that every fϵXs is continuous where Xs is the set of sequentially continuous linear functionals on X; Xs is studied when X is of the form C(H), H a topological space, and when X is the ...
Albert Wilansky
doaj   +1 more source

Asymptotic Almost Periodic Functions with Range in a Topological Vector Space

Journal of Function Spaces and Applications, 2013
The notion of asymptotic almost periodicity was …first introduced by Fréchet in 1941 in the case of …finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several ...
Liaqat Ali Khan, Saud M. Alsulami
doaj   +1 more source

Optimality Conditions and Duality for DC Programming in Locally Convex Spaces

Journal of Inequalities and Applications, 2009
Consider the DC programming problem (PA) inf⁡x∈X{f(x)−g(Ax)}, where f and g are proper convex functions defined on locally convex Hausdorff topological vector spaces X and Y, respectively, and A is a linear operator from X to Y.
Xianyun Wang
doaj   +2 more sources

Nonsmooth analysis and optimization on partially ordered vector spaces

International Journal of Mathematics and Mathematical Sciences, 1992
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
doaj   +1 more source

Unitary representability of free abelian topological groups

Applied General Topology, 2008
For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
doaj   +1 more source

Weak topologies for Linear Logic [PDF]

Logical Methods in Computer Science, 2016
We construct a denotational model of linear logic, whose objects are all the locally convex and separated topological vector spaces endowed with their weak topology.
Marie Kerjean
doaj   +1 more source

A remark on Ekeland's principle in locally convex topological vector spaces

Mathematical and Computer Modelling, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CAMMAROTO, Filippo, CHINNI', Antonia, STURIALE G.   +2 more
openaire   +2 more sources