Németh意义下$ε$ -有效解的偏序原理和向量变分原理
A partial order principle and vector variational principle for $ε$-efficient solutions in the sense of Németh
摘要：
本文建立了一个偏序原理，它有助于导出向量Ekeland变分原理（记为EVP）。利用偏序原理和推广Gerstewitz函数，我们得到了$ε$ -有效解在Németh意义下的向量EVP，通过去掉通常对目标函数值域有界的假设，改进了以前的结果.在此基础上，我们还导出了几种特殊的向量EVP，改进和推广了相关的已知结果。
英文摘要：
In this paper, we establish a partial order principle, which is useful to deriving vector Ekeland variational principle (denoted by EVP). By using the partial order principle and extending Gerstewitz's functions, we obtain a vector EVP for $ε$-efficient solutions in the sense of Németh, which essentially improves the earlier results by removing a usual assumption for boundedness of range of the objective function. From this, we also deduce several special vector EVPs, which improve and generalize the related known results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
