1) uniformly accretive maps
一致增生映射
2) accretive mapping
增生映射
1.
By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta,the result on the existence of a solution u∈Lp(Ω) of nonlinear Neumann boundary value problems involving the p-Laplacian operator p,where 2N/(N+1)<p<+∞且N≥1.
利用Calvert和Gupta关于非线性增生映射值域之和的扰动定理,得到了一类含有p拉普拉斯算子Δp的非线性Neumann边值问题在Lp(Ω)空间中解的存在性的结论,其中2N/(N+1)
2.
By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta,the abstract results on the existence of solution u∈L~a(Ω)of nonlinear boundary value problems involving the p-Laplacian operator have been obtained, where(2N/N+1)＜p(?)s＜+∞,for N(?)1.
利用Calvert和Gupta关于非线性增生映射值域的扰动理论,研究了与p-Laplace算子相关的非线性边值问题在L~s(Ω)空间中解的存在性,其中(2N/N+1)＜p(?)s＜+∞且N(?)1。
3.
Let E be a real uniformly smooth Banach space,A:D(A)=E→2~E be a m-accretive mapping and z∈E be an arbitrary element.
令E为实一致光滑Banach空间,A:D(A)=E→2E为m增生映射,z∈E为任意元,0∈R(A)。
3) uniform lipschitz mapping
一致Lipschitz映射
4) uniformly open mapping
一致开映射
5) strongly accretive mapping
强增生映射
1.
We prove that for a strongly accretive mapping in Lp(P<2)the sequence produced by Mann iterate converges strongly to the unique solution of Tx=f.
本文回答了文献［３］中提出的公开问题，即Ｌｐ（Ｐ＜２）空间中的强增生映射，证明了由Ｍａｎｎ迭代产生的序列强收敛于方程Ｔｘ＝ｆ的唯一解。
2.
A related result is obtained that deals with stability of the Mann iterative process with random errors for the solution of nonlinear equation with strongly accretive mapping.
同时 ,一个与非线性强增生映射方程的迭代解的稳定性相关的结果被获
6) m-accretive mapping
m-增生映射
补充资料：卵巢间质增生和卵泡膜增生
卵巢间质增生和卵泡膜增生
单纯卵巢间质增生所致双侧卵巢增大，即‘卵巢间质增生’；有黄素化间质细胞者称‘卵泡膜增生’。多发生于绝经后，可能因绝经后下丘脑-垂体功能紊乱，卵巢间质对垂体促性腺激素的一种增生性反应。常伴发糖尿病、高血压、肥胖、和甲状腺功能减退。临床上出现雌激素或雄激素过高现象。可伴子宫内膜增生甚至内膜癌等病变。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条