Zero duality gap for convex programs: a generalization of the Clark-Duffin theorem

DOI10.1007/s10957-013-0287-7zbMath1274.90260OpenAlexW2053859975MaRDI QIDQ378279

Emil Ernst, Michel Volle

Publication date: 11 November 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-013-0287-7

zbMATH Keywords

constrained optimizationzero duality gapcontinuous convex setsinner aperture directions

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46)

Related Items (8)

Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality ⋮ Strong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraint ⋮ Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap ⋮ On weak conjugacy, augmented Lagrangians and duality in nonconvex optimization ⋮ New glimpses on convex infinite optimization duality ⋮ Unnamed Item ⋮ On the lower semicontinuity of the value function and existence of solutions in quasiconvex optimization ⋮ On the existence of a saddle value

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