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.
出处
《重庆师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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)~~
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
characterizations
semicontinuity
semi-prequasi-invex functions
nonlinear programming
multiobjective opti-mization problem
