Results 21 to 30 of about 5,568 (215)

Fixed point theorems for some generalized contractive mappings over a locally convex topological vector space [PDF]

Surveys in Mathematics and its Applications, 2021
In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting ...
Sayantan Panja , Abhoy Pada Baisnab, Mantu Saha   +2 more
doaj  

Bilevel equilibrium problems with lower and upper bounds in locally convex Hausdorff topological vector spaces

, 2020
In this paper, we introduce a new class of bilevel equilibrium problems with lower and upper bounds in locally convex Hausdorff topological vector spaces and establish some conditions for the existence of solutions to these problems using the Kakutani ...
N. Hung, D. O’Regan
semanticscholar   +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

On Sub Convexlike Optimization Problems

Mathematics, 2023
In this paper, we show that the sub convexlikeness and subconvexlikeness defined by V. Jeyakumar are equivalent in locally convex topological spaces. We also deal with set-valued vector optimization problems and obtained vector saddle-point theorems and ...
Renying Zeng
doaj   +1 more source

Some Remarks on Fuzzy N-Normed Spaces [PDF]

, 2009
It is shown that every fuzzy n-normed space naturally induces a locally convex topology, and that every finite dimensional fuzzy n-normed space is ...
Elagan, S.
core   +1 more source

Barrelled Weakly Köthe–Orlicz Summable Sequence Spaces

Mathematics, 2023
Let E be a Hausdorff locally convex space. We investigate the space Λφ[E] of weakly Köthe–Orlicz summable sequences in E with respect to an Orlicz function φ and a perfect sequence space Λ.
Issam Aboutaib, Janusz Brzdęk, Lahbib Oubbi   +2 more
doaj   +1 more source

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

Weak upper topologies and duality for cones [PDF]

Logical Methods in Computer Science, 2015
In functional analysis it is well known that every linear functional defined on the dual of a locally convex vector space which is continuous for the weak topology is the evaluation at a uniquely determined point of the given vector space. M.
Klaus Keimel
doaj   +1 more source

Study of Duality of Locally Convex Space

International Journal of Scientific Research in Science and Technology, 2022
In this paper, we studied about the duality of locally convex space. The key to most of the results in topological vector space theory is to exploit duality - the relationship between on l.c.s. X and its dual X^*.
Amaresh Kumar, Dr. Md. Mushtaque Khan
semanticscholar   +1 more source

Multiplication operators on weighted spaces in the non-locally convex framework

International Journal of Mathematics and Mathematical Sciences, 1997
Let X be a completely regular Hausdorff space, E a topological vector space, V a Nachbin family of weights on X, and CV0(X,E) the weighted space of continuous E-valued functions on X. Let θ:X→C be a mapping, f∈CV0(X,E) and define Mθ(f)=θf (pointwise). In
L. A. Khan, A. B. Thaheem
doaj   +1 more source