关键词: 集值优化问题, 序线性空间, 广义Y+．次似凸, 广义向量Fritz-John鞍点, 广义向量Kuhn—Tucker鞍点

Abstract: In ordered linear spaces，generalized vector Fritz-John saddle point and generalized vector Kuhn-Tucker saddle pojnt 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.

Key words: set-valued optimization, ordered linear spaces, generalized Y+-subconvexlikeness, generalized vector Fritz-John saddle point, generalized vector Kuhn-Tucker saddle point．