摘要
研究了一类重要的广凸函数——强拟α-预不变凸函数,讨论了它与拟α-预不变凸函数、严格拟α-预不变凸函数及半严格拟α-预不变凸函数之间的关系,并在中间点的强拟α-预不变凸性下得到了它的三个重要的性质定理,同时给出了强拟α-预不变凸函数在数学规划中的两个重要应用,这些结果在一定程度上完善了对强拟α-预不变凸函数的研究.
In this paper,one important type of generalized convex functions termed as strongly quasi α-preinvex functions is studied.The relationships among strongly quasiα-preinvex functions and quasi α-preinvex functions,and strictly quasi α-preinvex functions and semistrictly quasi α-preinvex functions have been discussed.Three important theorems of properties have been obtained for it on the middle point strongly quasiα-preinvexity.We also present two important applications in terms of strongly quasi α-preinvex functions in mathematical programming.These results complete the researches for the strongly quasi α-preinvex functions to some extent.
出处
《运筹学学报》
CSCD
北大核心
2015年第1期77-84,共8页
Operations Research Transactions
基金
国家自然科学青年基金(No.61304146)
贵州省高校优秀科技创新人才支持计划资助项目(黔教合KY字[2012]101号)
贵州省科技厅
安顺市人民政府
安顺学院三方联合基金(黔科合J字LKA[2013]19号)
