Duality gap function in infinite dimensional linear programming

DOI10.1016/j.jmaa.2015.12.043zbMath1344.90071OpenAlexW2205754641MaRDI QIDQ5962544

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Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.12.043

zbMATH Keywords

function of bounded variationduality theoremsduality gap functioninfinite-dimensional linear programminginterior pointRiemann-Stieltjes integral

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items (6)

Stability of the duality gap in linear optimization ⋮ Recent contributions to linear semi-infinite optimization ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ Necessary and Sufficient Conditions for Qualitative Properties of Infinite Dimensional Linear Programming Problems ⋮ A note on primal-dual stability in infinite linear programming ⋮ On the duality gap and Gale's example in infinite-dimensional conic linear programming

Cites Work

• A review of duality theory for linear programming over topological vector spaces
• A recurrence method for a special class of continuous time linear programming problems
• Subdifferentiability and the duality gap
• Vector Optimization
• Approximate solutions and error bounds for a class of continuous-time linear programming problems
• Programmes in Paired Spaces
• Separated Continuous Conic Programming: Strong Duality and an Approximation Algorithm
• Existence and duality theory for separated continuous linear programs
• Continuous-time linear programming problems revisited: A perturbation approach
• An Approximation Approach for Linear Programming in Measure Space
• Semi-infinite transportation problems
• Semi-infinite programming. Recent advances
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