Necessary Optimality Condition for Vector Optimization Problems in Infinite-dimensional Linear Spaces
Xuanwei Zhou · Advances in Social Science, Education and Humanities Research/Advances in social science, education and humanities research · 2015
In this paper, the concept of preconvexlike functions is introduced.Then, under the convexity, the vector optimization problem in Hausdorff topological vector spaces is studied.A theorem of the alternative is established.By use of the theorem of the alternative, a necessary optimality condition for vector optimization problems in infinite-dimensional linear spaces are obtained.