Weak Efficient Solutions and Vector Saddle Points of Set-valued Optimization Problems in Linear Spaces

Qi Wang · Journal of Chongqing Jiaotong University · 2007

In ordered linear spaces,generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle point of set-valued optimization problems with generalized inequality constraints were defined,and the relations between them were established.And then,applying the alternative theorems under the generalized cone-subconvexlikeness,the relations among the weak efficient solutions of set-valued optimization problems and them were dicussed.

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