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A limiting infisup theorem

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Publication:1151826
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DOI10.1007/BF00934766zbMath0458.90061MaRDI QIDQ1151826

Robert G. Jeroslow, C. E. Blair, Richard J. Duffin

Publication date: 1982

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


zbMATH Keywords

convexityminimax problemsLagrangian dualitylinear perturbationlimiting Lagrangiansemireflexivityduality gapslimiting infisup theorem


Mathematics Subject Classification ID

Nonlinear programming (90C30) Existence of solutions for minimax problems (49J35)


Related Items

On Fan's minimax theorem, A note on d-stability of convex programs and limiting Lagrangians, A note on limiting infisup theorems, Limiting Lagrangians: A primal approach, Duality for convex infinite optimization on linear spaces



Cites Work

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  • On general minimax theorems
  • The limiting Lagrangian as a consequence of Helly's theorem
  • A limiting Lagrangian for infinitely-constrained convex optimization in \(\mathbb{R}^n\)
  • A duality theory for abstract mathematical programs with applications to optimal control theory
  • An extension of Fenchel's duality theorem to saddle functions and dual minimax problems
  • A note on perfect duality and limiting lagrangeans
  • Lagrangean functions and affine minorants
  • Convex Analysis
  • Convex analysis treated by linear programming
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