Duality theorems for linear systems and convex systems

DOI10.1016/0022-247X(80)90037-2zbMath0445.49007MaRDI QIDQ1145348

Ivan Singer

Publication date: 1980

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

zbMATH Keywords

dualityconvex systemsoptimization in abstract spaces

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Programming in abstract spaces (90C48) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Related Items

A general theory of dual optimization problems, A general theory of surrogate dual and perturbational extended surrogate dual optimization problems, Maximization of lower semi-continuous convex functionals on bounded subsets of locally convex spaces. I: Hyperplane theorems, Duality theorems for perturbed convex optimization, Abstract pontryagin maximum principles for linear systems, Surrogate dual problems and surrogate Lagrangians

Cites Work

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• Stetigkeit von Optimierungsoperatoren
• Some new applications of the Fenchel-Rockafellar duality theorem: Lagrange multiplier theorems and hyperplane theorems for convex optimization and best approximation