1) a system of generalized set-contraction mappings
广义集压缩映射组
1.
We discusse the fixed point theorem for a system of generalized set-contraction mappings and obtain the new fixed point theorem for a system of generalized set-contraction mappings.
在集合压缩映射的基础上研究广义集压缩映射组的不动点定理,根据连续算子的Altman不动点定理,得出了在广义集压缩映射组基础上的Altman不动点的推广定理。
2) Generalized product strict set-contraction mappings
广义积严格集压缩映射
3) generalized contractive mapping
广义压缩映射
1.
This paper discusses the iterative approximation of Ishikawa and Mann iterative processes with errors of generalized contractive mappings in red smooth Banach space and arbitrary Banach space, and generalizes some resu1ts in the same kinds.
讨论了广义压缩映射的具误差的Ishikawa迭代和具误差的Mann迭代程序在实光滑Banach空间及任意Banach空间中的收剑性问题,得出的结论推广了以前同类问题的一些结果。
2.
This paper discussed the convergence of Ishikawa iterative processes with errors for quasi-contractive mapping and generalized contractive mapping in Banach space.
讨论了Banach空间中拟压缩映射和广义压缩映射的具误差的Ishikawa迭代序列的收敛性,得出了在一定条件下,这两类压缩映射分别强收敛于它们的不动点。
3.
The convergence of Ishikawa iterative processes with errors for quasicontractive mapping pair and generalized contractive mapping in Banach space are discussed.
讨论了Banach空间中拟压缩映射对和广义压缩映射的具误差的Ishikawa迭代序列的收敛性问题,得出了在一定条件下,这2类压缩映射分别强收敛于它们的不动点。
4) quasi-contractive mappings
广义拟压缩映射
1.
The purpose of this paper is to define an Ishikawa iterative scheme for generalized quasi-contractive mappings in p-convex metric spaces and to prove that this iterative scheme converges to the unique fixed point of generalized quasi-contractive mappings in p-convex metric space.
在P-凸度量空间内,对关于p的广义拟压缩映射定义了Ishikawa迭代序列,证明了Ish-ikawa迭代序列收敛于广义拟压缩映射的唯一不动点。
5) generalized-contractive mappings
广义Φ-压缩映射
1.
In arbitrary Banach spaces,it is shown that the convergence of Mann iteration is equivalent to Noor iteration sequence,and the convergence of Mann iteration is equivalent to Ishikawa iteration sequence for generalized-contractive mappings.
对任意实Banach空间中的广义Φ-压缩映射分别证明了Mann迭代序列与Noor迭代序列收敛的等价性以及Mann迭代序列与Ishikawa迭代序列收敛的等价性,所得的结果是2005年S。
6) generalized Lipschitz pseudocontractions
广义Lipschitz伪压缩映射
补充资料：压缩映射原理
压缩映射原理
contracting -mapping principie
压缩映射原理[阴加‘飞一maPPing州ndpfe;“哪脚-川联or‘吻嫂.浦n钾IIu恤] 一个定理，断言完全度量空间(X，p)(或这样的空间的一个闭子集)到它自身的映射f的不动点(flxedpoint)的存在性与唯一性，如果对任何的x‘，x”，不等式 P(f(x‘)，f(x’‘))《宁试x‘，x’‘)(l)成立，这里q为某个固定的常数，O
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