Locally convex topological vector space

Georgian Mathematical Journal, 2022
Abstract In this paper, the inverse of Berge’s maximum theorem is established in a locally convex topological vector space. Using this result, the generalized Gale–Nikaido–Debreu’s lemma and the generalized coincidence point theorem are derived from the equilibrium theorem of generalized games. By combining the inverse of Berge’s maximum
Yuqiang Feng
exaly +3 more sources

On the Set of Locally Convex Topologies Compatible with a Given Topology on a Vector Space: Cardinality Aspects [PDF]

Journal of Mathematical Sciences, 2016
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Martín-Peinador, E., Tarieladze, V.
semanticscholar +4 more sources

The free abelian topological group as a subgroup of the free locally convex topological vector space

Journal of Group Theory, 2003
An invariant pseudometric \(\rho\) on an abelian group \(G\) is said to have the Enflo property provided \(\forall_{x\in G}[\rho(x^2,e)=2\rho(x,e)].\) It is proved that a Hausdorff abelian group can be embedded as a topological subgroup in a locally convex Hausdorff topological vector space \(\Leftrightarrow\) the topology of \(G\) is generated by a ...
Carolyn E. McPhail
exaly +4 more sources

mathematics
general theory of locally convex spaces
topological vector space

programming in abstract spaces
fuzzy functional analysis
locally convex topological vector spaces

variational inequalities