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1)  E-convex set
E-凸集
1.
On E-convex sets,E-convex functions and semi-E-convex functions;
关于E-凸集,E-凸函数和半-E-凸函数性质的研究
2.
Strong E-convex set,strong E-convex function and strong E-convex programming;
E-凸集,强E-凸函数和强E-凸规划
3.
In the literature ,the two authors have studied E-convex sets,E-convex function and semi-E-convex function and obtained some properties of them.
文献[1,2]已对E-凸集,E-凸函数,半-E-凸函数进行了研究,得出了一些性质。
2)  E-convex sets
E-凸集
1.
General convex sets and convex functions: E-convex sets and E-convex functions are investigated, some properties of which are achieved, the ctiterions of E-convex functions and quasi-semi-E-convex functions are given, minimizing sequences and critical sequences in optimization problems are studied.
本文研究了一类广义的凸集和凸函数: E-凸集和E-凸函数,得出了若干性质,并给出了E-凸函数和拟E-凸函数的判别准则。
3)  E-convex sets
E凸集
4)  strong E-convex set
强E-凸集
1.
Under the definition of E-convex set and E-convex function, by strengthing the definitions of E-convex set and E-convex function, the definitions of strong E-convex set and strong E-convex function were got.
E-凸集与E-凸函数定义的基础上,通过将E-凸集和E-凸函数的定义加强而得到强E-凸集与强E-凸函数的定义。
5)  (E,F)-convex set
(E,F)-凸集
6)  C-E-convex set-valuedmappings
C-E-凸集值映射
补充资料:凸集的线性空间


凸集的线性空间
convex sets, linear space of

凸集的线性空间!以斑即ex,翻s击】姆盯匆.理of;B‘目”心几I,M闹“.cT.明声比TPa“e.o(瓜棍翻佣、} 元素为局部凸线性拓扑空间中的凸集(。n卿set)对fX,y)的等价类的空间.凸集对〔X,y)被处理为“差”X一Y,且由定义.凸集对忙X:、y,)和(戈,矶)等价是指戈十矶=戈斗丫l,其中集合的加法被理解为向量和的闭包.在凸集的线性空间中可以引人加法、减法、数乘和拓扑,并使得这个空间变为局部凸拓扑空间,也可引入半序的概念,它类似于集合的包含关系.凸集的线性空间也石一非局部凸线性空间中予以研究,
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