【摘要】 在局部凸拓扑线性空间中,提出了集值向量优化问题的弱S-有效解和S-次似凸性概念.在S-次似凸性假设下建立了择一性定理,并利用择一性定理建立了弱S-有效解的标量化定理.此外,通过几个具体例子解释了主要结果.更多还原

【Abstract】 In this paper,we introduce the concept of weak S-optimal solution and Ssubconvexlikeness of vector optimization with set-valued maps and obtain an alternative theorem in a real locally Hausdorff topological vector space.Furthermore,under the assumption of S-subconvexlikeness,we establish scalarization theorem for weak S-efficient solution.We also give some examples to illustrate the main results.更多还原