不可微函数的不变伪单调性与伪不变凸性(英文)  

Invariant Pseudo-monotonicity and Pseudo-invexity of Non-differentiable Functions

作　　者：唐万梅[1] 刘茜[2] 杨新民[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047 [2]山东师范大学数学科学学院,济南250014

出　　处：《运筹学学报》2008年第3期50-58,共9页Operations Research Transactions

基　　金：the Natural Science Foundation of China(Grant No.10471159,No.10171118);the key project of the Chinese Ministry of Education,Supported by Program for New Century Excellent Talents in University,Education Commission project Research Foundation of Chongqing(Grant No.K J060818,KJ060804);the Research Fund for the Doctoral Program of Chongqing Normal University(Grant No.06XLB023);the project supported by Chongqing Key Laboratory of Operations Research and System Engineering.

摘　　要：本文讨论不可微函数的强伪不变凸性和不变伪单调性之间的关系,还讨论了不可微函数的伪不变凸性与半严格预拟不变凸性.此外,还给出了一个集值映射的不变伪单调的等价定义.The relationships between strongly pseudo-invexity of non-differentiable functions and strongly invariant pseudo-monotonicity of set-valued mapping, and pseudo- invexity and semistrictly prequasi-invexity of the non-differentiable functions are studied in this paper. In addition, an equivalent definition of invariant pseudo-monotone of setvalued mapping is obtained.

关 键 词：运筹学 数学规划 伪不变凸函数 不变伪单调 预拟不变凸函数 Clarke’s 广义次可微映射 

分 类 号：O224[理学—运筹学与控制论] O221.2[理学—数学]