A Generalized Vector-valued Variational Principle in Fréchet Spaces  

作　　者：Jing Hui QIU Xin Qing YANG 

机构地区：[1]Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第11期2145-2156,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No.10871141)

摘　　要：In the framework of Frechet spaces, we give a generalized vector-valued Ekeland＇s variational principle, where the perturbation involves the subadditive functions of countable generating semi-norms. By modifying and developing the method of Cammaroto and Chinni, we obtain a density theorem on extremal points of the vector-valued variational principle, which extends and improves the related known results.In the framework of Frechet spaces, we give a generalized vector-valued Ekeland＇s variational principle, where the perturbation involves the subadditive functions of countable generating semi-norms. By modifying and developing the method of Cammaroto and Chinni, we obtain a density theorem on extremal points of the vector-valued variational principle, which extends and improves the related known results.

关 键 词：Locally convex space Fr^chet space vector-valued variational principle extremal point DENSITY 

分 类 号：O177.3[理学—数学] TU323.5[理学—基础数学]