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On Herglotz theorem in partially ordered vector spaces

Soft Computing, 2000
In the paper the Herglotz theorem is generalized for partially ordered spaces. Let \(Y\) denote a real monotone \(\sigma \)-complete partially ordered vector space and \(Z\) denote the complexification of \(Y\). For a sequence \(z_j\) of elements of \(Z\) let \(\sigma _N(z_j,t)\) be the sequence of Cesร ro sums of the sequence \(z_j\). If for all real \(
Miloslav Duchon, Peter Malicky
exaly   +2 more sources

Dynamic Programming in Ordered Vector Space

Operations Research
Dynamic Programming in Ordered Vector Space โ€ƒ
Chengyuan Peng, John Stachurski
openaire   +1 more source

The convex vector programming on an order complete ordered topological vector space

1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Structure of quasi ordered โˆ—-vector spaces

2014
Let (๐‘‹,๐‘‹+) be a quasi ordered โˆ—-vector space with order unit, that is, a โˆ—-vector space ๐‘‹ with order unite together with a cone ๐‘‹+โІ๐‘‹. Our main goal is to find a condition weaker than properness of ๐‘‹, which suffices for fundamental results of ordered vector space theory to work.
Esslamzadeh, G. H.   +2 more
openaire   +1 more source

Ordered Vector Spaces and Positivity

2023
Jean-Bernard Bru   +1 more
openaire   +1 more source

Ordered Vector-Valued Kรถthe Spaces

Journal of the London Mathematical Society, 1976
openaire   +2 more sources

Vector optimization in ordered Banach spaces.

2000
In the present work necessary conditions for a local minimum in smooth-convex vector minimum problems in ordered Banach spaces are obtained. These include both smooth and convex problems, and the results can be applied to optimal control problems with multiple criteria. The main result is about the possibility of choosing Lagrange multipliers such that
Azimov, Abbas, Gร–K, ร–mer
openaire   +2 more sources

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