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1.
In this paper, we establish a theorem of the alternative in ordered linear topological spaces. Then, optimality conditions for the optimization of set-valued maps are obtained.  相似文献
2.
α凸性泛函簇的共鸣定理   总被引:1,自引:1,他引:0       下载免费PDF全文
本文引入α拟凸性泛函簇的概念,给出了这类泛函簇的共鸣定理.我们的结果推广了文[6]-[13]中的相应结果.  相似文献
3.
文[1]将Rn 中Kuhn-Tucker的条件推广到了序线性拓扑空间中,文[6]从另一角度出发把著名的Jensen 不等式推广到了序Banach 空间之中,本文在[1],[6]启发之下,以锥为工具给出了序线性拓扑空间中的凸算子在矩阵极值中的某些应用,从而利用变分的方法得到了广义最小二乘解的一个新证明.  相似文献
4.
该文对定义于局部凸线性拓扑空间X上的泛函引入广义方向导数、广义梯度及满足Lips-chitz条件等概念,证明了它们的几个重要性质,并举例说明这里满足Lipschitz条件的概念是Ba-nach空间情形的严格推广.最后,作为上述结论及方法的应用,讨论定义于X的多目标数学规划,得出若干关于弱有效解的最优性条件.  相似文献
5.
If is continuous and locally injective, then is in fact surjective and a homeomorphism, provided is definable in an o-minimal expansion without poles of the ordered additive group of real numbers; `without poles' means that every one-variable definable function is locally bounded. Some general properties of definable maps in o-minimal expansions of ordered abelian groups without poles are also established.

  相似文献

6.
SuLinning 《数学研究》1994,27(1):158-162
In this paper, the conditions for the non lcally convex topological vector space to have the H,-B. extension property is discussed, and the following three results are proved; (1)A closed subspace E0 of a linear topological space E to have the H.-B. property if and only if for every closed hyperplane of E0 is weakly closed, (2) A locally bounded linear topological space (E,τo)to have the H.-B extension property if and only if for every closed subspace E0 of E, the weak topology σ(E0,E^*0)属于τ1|E0, where τ1 is the finest locally convex topology on E which is coarser then τ0. (3)Let E be separated and let E be the completion of E. If every closed subspace E0 of E is the complete hull of E0∩E,then E has H.-B. extension property if and only if E has H.-B. extension property.  相似文献
7.
We show that the convexified topology of a locally pseuod-convex algebra can be determined by an explicit family of seminorms. A natural relationship between some properties of locally pseudo-convex algebras and the associated locally convex algebras obtained by convexification is also established.  相似文献
8.
Using some new linear topological invariants, isomorphisms and quasidiagonal isomorphisms are investigated on the class of first type power Köthe spaces [Proceedings of 7th Winter School in Drogobych, 1976, pp. 101-126; Turkish J. Math. 20 (1996) 237-289; Linear Topol. Spaces Complex Anal. 2 (1995) 35-44]. This is the smallest class of Köthe spaces containing all Cartesian and projective tensor products of power series spaces and closed with respect to taking of basic subspaces (closed linear hulls of subsets of the canonical basis). As an application, it is shown that isomorphic spaces from this class have, up to quasidiagonal isomorphisms, the same basic subspaces of finite (infinite) type.  相似文献
9.
In the present paper we study the splitting of a short exact sequence
10.
本文给出了更一般的广义 KKM定理 ,使定理更简洁 ,应用更广泛和方便  相似文献
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