On vector variational-like inequalities and set-valued optimization problems. (English) Zbl 1213.90261

Zeng, J.; Li, S. J.

Optim. Lett. 5, No. 1, 55-69 (2011).

Summary: Some solution relationships between set-valued optimization problems and vector variational-like inequalities are established under generalized invexities. In addition, a generalized Lagrange multiplier rule for a constrained set-valued optimization problem is obtained under C-preinvexity.

MSC:

90C48	Programming in abstract spaces
90C33	Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

Keywords:

generalized Lagrange multiplier rule; generalized invexity

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