Results 171 to 180 of about 43,621 (220)

Inverse of Berge’s maximum theorem in locally convex topological vector spaces and its applications

Georgian Mathematical Journal, 2022
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 ...
Wen Li, De-Yi Li, Yuqiang Feng
semanticscholar   +1 more source

COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES

Russian Mathematical Surveys, 1979
ContentsIntroduction § 1. Projective spectra of LCS § 2. Inductive spectra of LCS § 3. Families of LCS subspaces § 4. Duality in families of LCS subspaces § 5. Examples § 6. Real analytic functionals § 7. Fourier hyperfunctions § 8.
V. V. Zharinov
openaire   +3 more sources

A Denjoy-type integral and a strongly henstock integral in locally convex topological vector space

Rendiconti del Circolo Matematico di Palermo Series 2
R. Maza, S. R. Canoy
semanticscholar   +2 more sources

Maximal Points of Convex Sets in Locally Convex Topological Vector Spaces: Generalization of the Arrow–Barankin–Blackwell Theorem

, 2003
L. Woo, R. Goodrich
semanticscholar   +2 more sources

Proper Efficiency in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Local convexity and local boundedness of induced -topological vector spaces

Fuzzy Sets and Systems, 2007
In this paper, we prove that an L-topological vector space is locally convex (locally bounded) iff its induced I(L)-topological vector space is locally convex (locally bounded), where I(L) is the L-fuzzy unit interval. Also, we give a necessary and sufficient condition for the induced I(L)-topological vector space to be I(L)-fuzzy normable.
Jin-xuan Fang, Hua-Peng Zhang
openaire   +2 more sources

Basic sequences and non locally convex topological vector spaces

Rendiconti del Circolo Matematico di Palermo, 1987
Some applications of basic sequences in the theory of non-locally convex topological vector spaces are given. It is shown that the existence of a regular basic sequence in metrizable topological vector spaces admitting a strictly weaker metrizable topology is equivalent to the existence of a metrizable topology lying strictly between the two former ...
openaire   +2 more sources

TOPOLOGICAL DECOMPOSITIONS OF THE DUALS OF LOCALLY CONVEX VECTOR SEQUENCE SPACES

Quaestiones Mathematicae, 1985
ABSTRACT Let Λ be a scalar sequence space which is endowed with a normal locally convex topology. For a separated locally convex space E we denote by Λ(E) the vector space of all sequences g in E for which (>g(i),a x, f(i)
William H. Ruckle, Jan Fourie
openaire   +2 more sources

Certain locally convex topologies on the discrete vector-valued Lebesgue spaces

Periodica Mathematica Hungarica, 2012
Let Γ be a set and (E, ‖·‖E) be a nontrivial Banach space. In this paper, through generalizing to vector-valued discrete Lebesgue spaces l1(Γ,E), we show that the topology β1(Γ,E) introduced by Singh is, in fact, a type of strict topology. This observation enables us to conclude various basic properties of β1(Γ,E).
Saeid Maghsoudi, Rasoul Nasr-Isfahani
openaire   +2 more sources

Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces

2000
This paper deals with the vector equilibrium problem. The concept of super efficiency for vector equilibrium is introduced. A scalar characterization of super efficient solution for vector equilibrium is given. By using of the scalarization result, we discuss the connectedness of super efficient solutions set to the vector equilibrium problems in ...
Wan Tao Fu, Wei Liu, Xun Hua Gong
openaire   +2 more sources