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半压缩映象
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  demi-contractive mappings
     A New Iterative Approximation of Fixed Point for Asymptotically Demi-contractive Mappings
     渐近半压缩映象不动点的新的迭代逼近
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  “半压缩映象”译为未确定词的双语例句
     Let K be a bounded proximinal subset of a real Banach spaces E and T_1,T_2:K→2~K be generalized uniformly L-Lipschitz and multivalued asymptotically Φ-hemicontractive mappings and T_1 be a uniformly continuous.
     设K是实Banach空间E中的有界邻近子集,多值映象T1,T2:K→2K是广义一致L-L ipsch itz的渐近Φ-半压缩映象,且T1一致连续.
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     Fixed points with uniformly L-Lipschitz asymptotically φ-hemicontractive mapping by the modi-fied Ishikawa iterative sequences in the Banach space,and under the conditions of (lim)n→∞α_n=0,(lim)n→∞β_n=0,∑∞n=0α_n=+∞ are discussed.
     研究在任意Banach空间中,用修改的Ishikawa迭代序列逼近一致L-Lipschitz的渐近φ-半压缩映象T的不动点问题,在条件limn→∞αn=0,lni→m∞βn=0,∑∞n=0αn=+∞下,给出了迭代序列{xn}强收敛于T的不动点q的充分必要条件.
短句来源
     Ishikawa Iterative Process for φ-Hemicontractive Mapping in Banach Space
     Banach空间中φ-半压缩映象的Ishikawa迭代过程
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     Iterative Approximations of Fixed Points for Lipschitz φ-hemi-contractive Mappings
     Lipschitz φ-半压缩映象不动点的迭代逼近
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     Suppose that X is a real uniformly smooth Banach space, K is a nonempty closed convex and bounded subset of X. T:K→K is strongly hemi contractive mapping.
     设X是一实一致光滑Banach空间 ,K是X的非空有界闭凸子集 ,T :K→K是强半压缩映象 .
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  相似匹配句对
     An Extension of the Theorem of Compressive Mapping
     压缩映象原理的扩充
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     The Application of Contraction Mapping Principle
     压缩映象原理的应用
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     Stability of the Ishikawa iterative procedure with errors for -semicontractive mapping
     -压缩映象带误差的Ishikawa迭代的稳定性
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     Iterative Approximations of Fixed Points for Lipschitz φ-hemi-contractive Mappings
     Lipschitz φ-压缩映象不动点的迭代逼近
短句来源
     Stability of the Ishikawa Iteration Procdure with Errors for Lipschitz Strictly Hemicontractive Mapping
     强压缩映象带误差的Ishikawa迭代的稳定性
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Let C be a nonempty subset of a Banach space, T a self map of C. T is called hemicon tractive if such that || Tx-p||2≤ || x-p ||2+ || x-Tx ||2,where F(T) denotes the fixed point set of T. T is called Lipschitzian if there exists a constant L>0 such that Theorem. Let C be a nonempty closed convex bounded subset of a Hilbert space T :C→C a Lipschitzian hemicontractive mapping with F(T) nonempty and (I-T) is demiclosed , let be a Ishikawa iterates sequence and {an} {βn} satisfy where a=min(1/8L,1/32)>0 .Then {xn}...

Let C be a nonempty subset of a Banach space, T a self map of C. T is called hemicon tractive if such that || Tx-p||2≤ || x-p ||2+ || x-Tx ||2,where F(T) denotes the fixed point set of T. T is called Lipschitzian if there exists a constant L>0 such that Theorem. Let C be a nonempty closed convex bounded subset of a Hilbert space T :C→C a Lipschitzian hemicontractive mapping with F(T) nonempty and (I-T) is demiclosed , let be a Ishikawa iterates sequence and {an} {βn} satisfy where a=min(1/8L,1/32)>0 .Then {xn} converges weakly to a fixed point of T other the presentpaper proved also convergence theorem of Ishikawa iterates sequence for some mapping in Banach space.

本文证明了Hilbert空间上Lipschitzian半压缩映象的Ishikawa迭代序列的弱收敛性和Banach空间上的一类映象的Ishikawa迭代序列的收敛性。

In this paper, we prove that the Ishikawa iteration {x_n} converges weakly (strongly)to a fixed point of asymptotically quasinonexpansive mappings and asymptotically hemicontractive mappings under very general conditions. Our theorems improve and generalize the recent results of Schu.

在本文中,我们在很一般的条件下证明了Ishikawa迭代序列弱(强)收敛于渐近拟非扩张映象和渐近半压缩映象的不动点,我们的定理改进和推广了Schu的最近结果.

In the present paper, by virtue of an inequality and some analysis techniques, we have proved that some convergence theorems on the iterative process for nonlinear mappings of hemicontractive type in normed linear spaces. Our results improved and extend the corresponding those obtained by others recently.

使用赋范空间中一个不等式以及某些分析技巧,证明了赋范线性空间中中半压缩映象的不动点的迭代过程的若干收敛定理,改进和扩展了近期相应的一些结果.

 
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