n this paper, solutions of vector-valued integral equations of a class on an interval (a,b) to a complete Hausdorff locally semi--convex space are presented by the fixed point method.
用不动点的方法给出一类定义在区间(a,b)上,值域取在完备的Hausdorff的局部半凸空间中的矢量值积分方程的解。
In this paper we introduced the definitions of pre-semi-convex sets and locally pre-semi-convex space.
首先给出凸集与吸收集的一种推广定义,称之为准半凸集,在此基础上定义了局部准半凸空间;其次讨论了准半凸集与其他凸集推广定义的关系,以及准半凸集的充要条件;最后给出与准半凸集有关的运算性质及局部准半凸空间的一个充要条件。
Existence of solutions to Cauchy initial problem in locally convex spaces;
局部凸空间中Cauchy初值问题解的存在性
f-(mutually) fartest points on locally convex spaces;
局部凸空间上的f-(共)远达点
Differential operator in locally convex spaces and it′s fixed point theorem;
局部凸空间中的微分算子及其不动点定理
metrizable locally convex space
可度量化局部凸空间
ultrabornological locally convex space
超有界型局部凸空间
dual metric locally convex space
对偶度量局部凸空间
The Study of K Convexity and K Smoothness in Locally Convex Spaces;
局部凸空间K凸性与K光滑性的研究
Equivalent Characterizations of Average Strong Convexity in Locally Convex Spaces
局部凸空间的平均强凸性的等价刻画
The Study on Three Kinds of k-Convexity and k-Smoothness in Locally Convex Spaces;
局部凸空间的三类k-凸性和k-光滑性的研究
Study on the k Convexity and k Smoothness in Locally Convex Spaces;
局部凸空间中各类k凸性和k光滑性的研究
Uniformly Extreme Convexity and Uniformly Extreme Smoothness in Locally Convex Spaces
局部凸空间的一致极凸性与一致极光滑性
Average Uniform Convexity and Average Uniform Smoothness in Locally Convex Spaces
局部凸空间的平均一致凸性与平均一致光滑性
The Riemann--Stieltjes integral in locally convex space;
局部凸空间中的Riemann-Stieltjes积分
The boundary value of vector-valued Cauchy type inegrals in locally convex space;
局部凸空间中Cauchy型积分的边值问题
Generalization of Drop Theorem and Some Relational Theorems in Locally Convex Spaces;
局部凸空间中的Drop定理及其相关定理的推广
Discussion about Some Properties in the Width of the Locally Convex Spaces;
局部凸空间中的宽度和某些性质的讨论
Boundary Properties of Vector-Valued Regular Functions;
局部凸空间中向量值正则函数的有界性
Laurent Senies of Vector Valued Functions in Local Convex Spaces;
局部凸空间中向量值函数的罗朗级数及性质
Further Study for Vector Measures Valued in Locally Convex Space
关于取值于局部凸空间向量测度的进一步研究
Several Kinds of Smoothness in Locally Convex Spaces and Its Equivalent Condtions
局部凸空间的几种光滑性及其等价条件
AN EXTREME MINIMUM FIXED POINT THEOREM FOR SET-VALUED MAPPING IN THE LOCAL CONVEX SPACE
局部凸空间中集值映射的一个极小不动点定理