Minimax programming under new invexity assumptions.(English)Zbl 1150.90446

Summary: We consider the minimax programming problem and focus on optimality conditions and duality properties. Some of previously known theoretical results are restated in terms of $$(\Phi,\rho)$$-invexity and related properties.

MSC:

 90C26 Nonconvex programming, global optimization 90C46 Optimality conditions and duality in mathematical programming

Keywords:

minimax programming; invexity; duality