In strictly convex Banach space,there is set F(T) of coupled fixed points of T for nonexpansive mapping,and it is a closed convex set.
在严格凸Banach空间中研究了非扩张映象T的耦合不动点集F(T)的闭凸性,获得了当F(T)是Hilbert空间中的闭线性子空间时,Ishikawa迭代的极限元与其初始元的最佳逼近元之间的关系。
By using the renorming of Banach space, it was proved that every Banach space has an equivalent norm which is not strongly rough, and every Banach space has an equivalent norm which is not even, and every real Banach space has an equivalent norm ‖| · ‖| , such that ( X , ‖| · ‖| ) is not strictly convex or smooth.
应用再赋范方法，得到了任意Ｂａｎａｃｈ空间都存在不是粗的等价范数，任意Ｂａｎａｃｈ空间都存在不是平的等价范数等结论，证明了任意实Ｂａｎａｃｈ空间一定存在等价范数‖｜·‖｜，使得（Ｘ，‖｜·‖｜）既不是严格凸的，也不是光滑
This paper uses uniform and simple form to treat uniformly convex, local uniformly convex, weak uniformly convex, weak local uniformly convex, strictly convex, (M) property and (WM) property in Banach space and an equivalence characterization of them in Banach space is given.
用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画。
On nearly extreme point and nearly strict convexity of quotient space;
商空间的近端点和近严格凸性
The criterion of nearly extreme point in Orlicz function spaces are given, by the way we get the criterion of nearly strict convexity in the same spaces.
本文绘出了 Ｏｒｌｉｃｚ 函数空间中近端点的判别准则，近而推出了 Ｏｒｌｉｃｚ函数空间近严格凸性的判别准则。
This indicates that the nonsquare constant is not necessary to be 2~(1/2) in some spaces with P_λproperty for someλ, and that P_λproperty does not imply strict convexity or even uniform convexity.
其次,介绍了关于非方常数,等腰正交的基本定义和基本结论,并且构造了一个具有P_λ性质的Banach空间,计算出了该空间的非方常数,从而说明了对于某特定的λ,具有P_λ性质的赋范空间其非方常数不一定为2~(1/2) ,同时也说明了具有P_λ性质并不能保证赋范空间的严格凸性或者一致凸性。
Remarks on K-Strictly Convex Banach Spaces;
关于K-严格凸Banach空间的注记
The Preconditioning of Strict Convex Quadratic Programming;
严格凸二次规划的Cholesky预处理
Some Equivalent Propositions about Strict Convex in Banach Space;
Banach空间严格凸的几个等价命题
A Sufficient Condition on Strict Convexity Space of Real Conjugate Space;
实共轭空间X~*严格凸的一个充分条件
Existence and uniqueness for element of best approximation in strict convex Banach spaces;
严格凸Banach空间中最佳逼近元的存在与唯一性
Isometries Between the Unit Spheres of c_0-Sum of Strictly Convex Normed Spaces
严格凸赋范空间的c_0-和的单位球面之间的等距
Strict Convexity and the Existence of Multiple Solutions to Nonlinear Elliptic Eigenvalue Problem in Divergence Form;
严格凸性与变分形式的非线性椭圆特征值问题的多重解
A Geometrical Nature and a Few Important Inversive Indefinite Formulars of the Stringent Converx Function;
严格凸函数的一个几何性质及几个重要的反向不等式
We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex.
证明了闭的极大线性子空间是强正交可补的充分必要条件是,空间x是自反严格凸的.
Properties of preinvex and semistrictly preinvex functions and their application
预不变凸、半严格预不变凸函数的性质与应用
Strictly(h,φ)-η-Preinvex Functions
严格(h,φ)-η-预不变凸函数
(h,φ)-Strictly Quasiconvex Function and Its Properties
(h,φ)-严格拟凸函数及其性质
A sufficient condition about semi-strictly quasi α-preinvex functions;
半严格拟α-预不变凸函数的一个充分条件
ITERATIVE APPROXIMATION OF LIPSCHITZ STRICTLYPSEUDOCONTRACTIVE MAPPINGS IN UNIFORMLYCONVEX BANACH SPACES;
一致凸Banach空间中Lipschitz严格伪收缩映射的迭代逼近
(2) On the effect boundary, risk is return's rigid monotony increase by degrees convex function , return is risk's rigid monotony increase by degrees concave function.
(2)在有效前沿上,风险是收益的严格单调递增凸函数,收益是风险的严格单调递增凹函数。
Existence of Weak Solution for Complex Monge-Ampère Equation in Some Special Pseudoconvex Domain
一类非严格拟凸域上复Monge-Ampère方程弱解的存在性研究
L-fuzzy lattice and(λ,μ)-fuzzy convex sublattice
L-fuzzy格及(λ,μ)-fuzzy凸子格
(archaic) strict and severe.
（古语）严格的或严厉的。
