Results 61 to 70 of about 38,134 (191)

Quasi-Relative Interiors for Graphs of Convex Set-Valued Mappings

, 2018
This paper aims at providing further studies of the notion of quasi-relative interior for convex sets introduced by Borwein and Lewis. We obtain new formulas for representing quasi-relative interiors of convex graphs of set-valued mappings and for convex
Mordukhovich, Boris S., Nam, Nguyen Mau, Van Cuong, Dang   +2 more
core  

Differential Calculus, Manifolds and Lie Groups over Arbitrary Infinite Fields

, 2003
We present an axiomatic approach to finite- and infinite-dimensional differential calculus over arbitrary infinite fields (and, more generally, suitable rings). The corresponding basic theory of manifolds and Lie groups is developed. Special attention is
Bertram, Wolfgang, Glockner, Helge, Neeb, Karl-Hermann   +2 more
core  

$\mathfrak G$-bases in free (locally convex) topological vector spaces

, 2016
We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local $\mathfrak G$-base. A topological space $X$ has a local $\mathfrak G$-base if every point $x$ of $X$ has a neighborhood base $(U_ )_{ \in ^ }$ such that $U_ \subset U_ $ for all $ \le $ in $ ^ $. To construct $\mathfrak G$-bases
Banakh, Taras, Leiderman, Arkady
openaire   +2 more sources

The Levi problem in non-locally convex seperable topological vector spaces.

MATHEMATICA SCANDINAVICA, 1990
The author continues his study of pseudoconvexity in a nonlocally convex space setting. Following, \textit{L. Waelbroeck} [Topological vector spaces and algebras, Lect. Notes Math. 230 (1971; Zbl 0225.46001)], let \(E\) be an \(Lps\), i.e. a locally pseudoconvex topological vector space.
openaire   +3 more sources

Remarks on quasi-variational inequalities and fixed points in locally convex topological vector spaces

, 1997
In this note, we first prove existence theorems for noncompact generalized quasivariational inequalities. As applications, two fixed point theorems for upper or lower semicontinuous multivalued mappings without compact domains are given in locally ...
G. Yuan
semanticscholar   +1 more source

An ergodic measure on a locally convex topological vector space

Journal of Functional Analysis, 1981
AbstractThe aim of this paper is to give a way to construct a probability measure with nice ergodic properties on a locally convex topological vector space. We have two motivations; one is to give a generalization of a Gaussian measure and the other is to give an example of a probability measure with a rich kernel space.
openaire   +1 more source

The strongest vector space topology is locally convex on separable linear subspaces [PDF]

Annales Polonici Mathematici, 1997
cor a real or complex vector space \(X\), let \(\tau_{\max}\), \(\tau^p_{\max ...
openaire   +1 more source

On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems

Fixed Point Theory and Applications, 2011
We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces.
Plubtieng Somyot, Sitthithakerngkiet Kanokwan   +1 more
doaj  

Research on a Class of Set-Valued Vector Equilibrium Problems and a Class of Mixed Variational Problems

Mathematics
This paper investigates the structural properties of solutions of vector equilibrium systems and mixed variational inequalities in topological vector spaces.
Wei Cheng, Weiqiang Gong
doaj   +1 more source

About some commutative operations with classes of subcategories

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
Two operations on the class of subcategories of some categories are defined and conditions are indicated when these operations are commutative. Examples of factorization structures are given, whose subcategory classes satisfy the necessary conditions ...
Dumitru Botnaru, Alina Turcanu
doaj   +1 more source