Results 191 to 200 of about 5,568 (215)

On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 2014
Let \((X,\tau_0)\) be a Hausdorff locally convex space over \(\mathbb R\) with dual \(X^*\) and \(\tau\subset \tau_0\) another Hausdorff locally convex topology on \(X\), compatible with the duality \((X,X^*)\) and \(C\) a (not necessarily convex) cone in \(X\).
Joseph Newhall, Robert K. Goodrich
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Fixed point theorems in not necessarily locally convex topological vector spaces

Lecture Notes in Mathematics, 1982
exaly   +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.
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Certain locally convex topologies on the discrete vector-valued Lebesgue spaces

Periodica Mathematica Hungarica, 2012
Let \(A\) be a Banach algebra and \(V\) be a Banach left \(A\)-module. The strict topology on \(V\) is the locally convex topology generated by the family \(\{p_a : a\in A\}\) of semi-norms, where for \(a\in A\), \(p_a(v)=\| a.v\| \), \(v\in V\). The authors study the case of the space \(\ell^1(\Gamma,E)\), where \(\Gamma\) is a nonempty set and \(E ...
Saeid Maghsoudi, Rasoul Nasr-Isfahani
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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 ...
Xun Hua Gong, Wan Tao Fu, Wei Liu
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Sequential Separation Theorems and S-Locally Convex Topological Vector Spaces

Mathematische Nachrichten, 1982
The Hahn-Banach theorem, when formulated in a topological vector space, gives rise to a number of 'separation' results. For example: Let (X,t) be a topological vector space (here X is our space, t our topology) over the real or complex field, let A be a non-empty, convex, open subset of X and M an affine subspace of X such that \(A\cap M=\emptyset ...
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Introduction to Locally Convex Topological Vector Spaces and Dual Pairs

1984
The purpose of this chapter is to provide a quick introduction to some of the basic aspects of the theory of topological vector spaces. Various versions of the Hahn-Banach theorem will be used later in the book and the exposition therefore centers around a fairly detailed treatment of these fundamental results.
Christian Berg, Jens Peter Reus Christensen, Paul Ressel   +2 more
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Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 2000
For the superefficient point set \(SE(A,K)\) (Borwein/Zhung) in locally convex topological vector spaces it is shown: 1. \(SE(A,K) = \cup_{f \in \operatorname {int} K^*} \{ y \in A: f(y)= \operatorname {inf} \{ f(x): x \in A \} \}\) when \(A\) is \(K\)-convex, 2. \( SE(A,K)\) is connected when \(A\) is \(K\)-convex and weakly compact.
Hu, Y. D., Ling, C.
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Fixed points of mappings over a locally convex topological vector space and Ulam-Hyers stability of fixed point problems

Novi Sad Journal of Mathematics, 2019
K. Roy, M. Saha
semanticscholar   +1 more source

Bridging Classical and Contemporary Duality in Locally Convex Topological Vector Spaces

International Journal of Research and Scientific Innovation
This paper delves into the intricate relationship between various specialized classes of locally convex topological vector spaces and their corresponding duality theory. Building upon the foundational contributions of pioneering mathematicians in functional analysis, this work aims to provide a deeper understanding of the structural properties and ...
Dilip Kumar Sah, Mukesh Kumar Pal, Raj Kumar   +2 more
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