Contributed Session Fri.2.H 0112

Friday, 13:15 - 14:45 h, Room: H 0112

Cluster 16: Nonlinear programming [...]

Optimality conditions I

 

Chair: Feyzullah Ahmeto─člu

 

 

Friday, 13:15 - 13:40 h, Room: H 0112, Talk 1

Feyzullah Ahmeto─člu
Necessary conditions for a convex programming problem in Banach spaces partially ordered by a cone with empty interior

 

Abstract:
The existence of saddle point of the Lagrange function for a convex programming problem in Banach spaces ordered by a cone with empty interior is established under a strong simultaneity of condition. As a consequence the Kuhn-Tucker conditions are derived. It is shown that the Slater and the strong simultaneity conditions are equivalent if the cone determining the partial order has an interior.

 

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