Lagrangian duality for a class of infinite programming problems

DOI10.1080/01630568008816073zbMath0456.90087OpenAlexW1989819997MaRDI QIDQ3905100

Thomas W. Reiland

Publication date: 1980

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568008816073

zbMATH Keywords

first-order necessary conditionsconvex conedual conesstrong dualityLagrangian dualityinfinite programmingcontinuous time programmingKuhn-Tucker type conditionsgeneralized Farkas' theorem

Mathematics Subject Classification ID

Nonlinear programming (90C30) Programming in abstract spaces (90C48)

Related Items (7)

Some remarks concerning duality for continuous-time programming problems ⋮ OPTIMALITY CONDITIONS AND DUALITY MODELS FOR A CLASS OF NONSMOOTH CONTINUOUS-TIME GENERALIZED FRACTIONAL PROGRAMMING PROBLEMS ⋮ Optimality conditions and duality for a class of continuous-time generalized fractional programming problems ⋮ Continuous-time multiobjective fractional programming ⋮ Continuous-time generalized fractional programming ⋮ Optimality conditions and duality for a class of continuous-time programming problems with nonlinear operator equality and inequality constraints ⋮ Optimality conditions and Lagrangian duality in continuous-time nonlinear programming

Cites Work

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• Generalized Kuhn-Tucker conditions and duality for continuous nonlinear programming problems
• A class of continuous linear programming problems
• Continuous programming. I: Linear objectives
• Nonlinear programming in locally convex spaces
• An Extension of the Nonhomogeneous Farkas Theorem
• Generalizations of Farkas’ Theorem
• Nonlinear Programming in Banach Space
• A Duality Theorem for a Class of Continuous Linear Programming Problems
• Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
• Symmetric Duality for Continuous Linear Programs

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