1) 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。
2) new a class generalized quasi-contractive mapping
新一类广义拟压缩映射
1.
Deal with Ishikawa s iteration scheme to construct fixed points of new a class generalized quasi-contractive mapping and prove the iterative stcheme converges to the unique common fixed point of the sequence of new a class generalized quasi-contrictive mapping in P-convex metric space.
介绍了P-凸度量空间和新一类广义拟压缩映射的概念,证明了Ishikawa型迭代序列收敛于新一类广义拟压缩映射的唯一不动点,从而推广和统一了近期的一些相应结果。
4) More generalized quasi contractive mappings sequence
更广义拟压缩映射序列
5) general quasi-contractive mappings
广义拟-压缩映象
6) 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。
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
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参考词条