半预拟不变凸性的性质与应用注记（英文）  

Notes on Characterizations and Applications of*Semi-prequasi-invexity

作　　者：李科科[1] 彭再云[2] 刘亚威[2] 唐莉萍[3] 

机构地区：[1]重庆师范大学数学科学学院,重庆401331 [2]重庆交通大学数学与统计学院,重庆400074 [3]重庆工商大学数学与统计学院,重庆400067

出　　处：《重庆师范大学学报（自然科学版）》2017年第1期12-22,共11页Journal of Chongqing Normal University:Natural Science

基　　金：The National Natural Science Foundation of China(No.11301571,No.11401058);the China Postdoctoral Science Foundation funded project(No.2015M580774,No.2016T90837);The Basic and Advanced Research Project of Chongqing(No.cstc2015jcyjA00025,No.cstc2016jcyjA0178,No.cstc2013jcyjA40031);The education commission project of Chongqing(No.KJ160013,No.KJ120401);The on-campus Research Program of Chongqing Technology and Business University in 2015(No.1552005);the Graduate Research and Innovative Training Program of Chongqing(No.CYS16144)~~

摘　　要：【目的】对半预拟不变凸性及其应用进行了深入研究。【方法】借助假设条件B1,B2和稠密性结果。【结果】首先,在更弱的假设下,获得了半预拟不变凸性的新刻画。然后,分别给出了无约束与不等式约束情形下半预拟不变凸型数学规划问题的最优性条件。最后,得到了半预拟不变凸性在多目标规划问题中的几个应用型结果,并举例说明所得结果。【结论】所得结果推广和改进了最近的一些文献。[Purposes]The semi-prequasi-invexity and its applications are further investigated.[Methods]With assumptions B1,B2,and denseness results.[Findings]Firstly,under more weaker assumptions,some new characterizations of semiprequasi-invexity are obtained.Then,the optimality conditions of semi-prequasi-invex type mathematical programming problems are given in the case of without constraints and with inequality constraints,respectively.Finally,several applicable results of semi-prequasi-invexity in multiobjective optimization problem are gained,and examples are also shown to illustrate the results.[Conclusions]The obtained results extend and improve some latest literatures.

关 键 词：性质 半连续性 半预拟不变凸函数 非线性规划 多目标规划问题 

分 类 号：O221.1[理学—运筹学与控制论]