Some characterizations of perturbational dual problems

DOI10.1080/02331939408843941zbMath0820.90127OpenAlexW1979858620MaRDI QIDQ4764888

Ivan Singer, Juan-Enrique Martinez-Legaz

Publication date: 14 September 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939408843941

zbMATH Keywords

axiomatic approach to unperturbational dual problemsperturbational dual problemsprimal parametersstrong niveloids

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Duality theory (optimization) (49N15)

Cites Work

• Surrogate dual problems and surrogate Lagrangians
• A general theory of dual optimization problems
• A general theory of surrogate dual and perturbational extended surrogate dual optimization problems
• An elementary survey of general duality theory in mathematical programming
• Some further relations between unperturbational and perturbational dual optimization problems
• Some characterizations of φ-Lagrangian dual problems
• On $\Phi $-Convexity in Extremal Problems
• Some characterizations of surrogate dual problems
• Extensions of Lagrange Multipliers in Nonlinear Programming