1) map generalization
映象生成
2) accretive mapping
增生映象
1.
Ishikawa iterative approximation with mixed errors for solutions to variational inclusions with accretive mappings;
增生映象的变分包含解的具混合误差项的Ishikawa迭代逼近
2.
Operator equationx∈-Ax +Cxin a Banach spaceXis studied, whereA:D( A) X→2Xis an accretive mapping,C:D( C) X→ Xis a countably 1-set contraction.
在Banach空间中研究了算子方程x∈-Ax+Cx解的存在性问题,其中A:D(A)X→2X是一增生映象,C:D(C)X→X是一可数的1-集压缩映象。
3.
By a new technique, the author studies the existence, uniqueness and approximation problem of the Ishikawa iterative with error sequences of solutions for a class of variaational inclusions with accretive mapping in real Banach space.
使用新的技巧 ,研究Banach空间中一类增生映象的变分包含解的存在性 ,唯一性及其具误差的Ishikawa迭代序列的收敛性问题 。
3) accretive mappings
增生映象
1.
The purpose of this paper is to introduce and study the semi_groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall_Liggett s exponential formula for some kind of accretive mappings in probabilistic normed spaces.
本文的目的是在概率赋范空间中引入和研究非线性压缩半群，并对增生映象建立Ｃｒａｎｄａｌ＿Ｌｉｇｇｅｔ指数公式·作为应用，我们将应用这些结果研究概率赋范空间中一类具增生映象的微分包含的Ｃａｕｃｈｙ问题解的存在性
4) Generating Mapping ι
生成映射
5) strongly accretive mapping
强增生映象
1.
Under the only assumption of the continuity of strongly accretive mappings, and by virtue of the Holder continuity of th duality mapping Jp given by Prof.
在仅假设强增生映象的连续性下,利用徐宗本教授等人(1991年)给出的对偶映象Jp的Holder连续性,证明了具误差的Mann迭代法强收敛到这类变分包含的唯一解。
2.
Under the only assumption of the continuity of strongly accretive mappings and without the condition βn→0(n→∞), by virtue of the Holder continuity of the duality mapping Jp given by Xu Zong-ben et al.
在仅假设强增生映象的连续性与没有条件βn→0(n→∞)下,利用徐宗本等人给出的对偶映象Jp的Holder连续性,证明了具误差的Ishikawa迭代程序强收敛到这类变分包含的唯一解。
3.
The author presents a related result that the new Ishikawa iterative with errors converges to a solution of the nonlinear equation Tx = f when T is Lipschitz strongly accretive mapping.
本文给出一个新的具误差的 Ishikawa 迭代程序强收敛到 T 的唯一不动点,并给出一个涉 及 Lipschitz 强增生映象 T 的非线性方程 Tx = f 的解的迭代逼近。
6) (A,η)-accretive mapping
(A,η)-增生映象
1.
In this paper,a new class of general nonlinear parametric set-valued variational inclusions with(A,η)-accretive mappings is studied in Banach spaces,and an existence theorem and sensitivity analysis of the solution set of this kind of parametric variational inclusions are discussed in q-uniformly smooth Banach spaces.
引入和研究了Banach空间上一类新的带(A,η)-增生映象的广义非线性含参集值变分包含,并在q-一致光滑的Banach空间中讨论了其解集的存在性和灵敏性分析。
补充资料：映象
客观事物在人的头脑中以感觉、观念或思想等形式的再现。是客观事物作用于人脑和人脑进行反映活动的结果。实践是客观事物映象的来源。人脑中关于客观事物的映象，都是在具体实践条件下，人脑对客观事物的近似正确的或错误的反映。
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参考词条