Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints

DOI10.1080/01630563.2015.1013552zbMath1353.90161OpenAlexW1989130409MaRDI QIDQ5264008

Shashi Kant Mishra, Monika Jaiswal

Publication date: 20 July 2015

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

Full work available at URL: https://doi.org/10.1080/01630563.2015.1013552

zbMATH Keywords

strong dualityweak dualitystrict converse dualityinvexMond-Weir-dualityoptimality conditions of John and KKT-typepseudo-invexquasi-invexsemi-infinite programming with equilibrium constraintsstrictly invexWolfe-duality

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Semi-infinite programming (90C34)

Related Items (11)

On M-stationary conditions and duality for multiobjective mathematical programs with vanishing constraints ⋮ New dualities for mathematical programs with vanishing constraints ⋮ Duality results for interval-valued semiinfinite optimization problems with equilibrium constraints using convexificators ⋮ Painlevé-Kuratowski convergence of minimal solutions for set-valued optimization problems via improvement sets ⋮ Mangasarian-type second- and higher-order duality for mathematical programs with complementarity constraints ⋮ Approximate optimality conditions and mixed type duality for semi-infinite multiobjective programming problems involving tangential subdifferentials ⋮ Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators ⋮ On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints ⋮ Lagrange duality and saddle point optimality conditions for semi-infinite mathematical programming problems with equilibrium constraints ⋮ On sufficiency and duality theorems for nonsmooth semi-infinite mathematical programming problem with equilibrium constraints ⋮ Duality in multiobjective mathematical programs with equilibrium constraints

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