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【正】 Let S be a nonempty convex subset in Rn, Aj be a nonempty convex cone in Rjm , the set-valued mapping fj: S Rjm be Aj convex and dom(fj) riS , ( j = 1,2,3,4); g, S Rt be linear and dom (fj) riS . In this paper, we discuss the theorems of the alternati